diff --git a/NEWS b/NEWS
index 82b7016aef..bc7bb788df 100644
--- a/NEWS
+++ b/NEWS
@@ -64,6 +64,9 @@ Major new features:
   to be used by compilers for optimizing usage of 'memcmp' when its
   return value is only used for its boolean status.
 
+* The printf family of functions now handles the flagged %#m conversion
+  specifier, printing errno as an error constant (similar to strerrorname_np).
+
 Deprecated and removed features, and other changes affecting compatibility:
 
 * The r_version update in the debugger interface makes the glibc binary
diff --git a/manual/stdio.texi b/manual/stdio.texi
index 1d235be68d..5ec770220b 100644
--- a/manual/stdio.texi
+++ b/manual/stdio.texi
@@ -1938,6 +1938,9 @@ which can be parsed by the @code{strtoul} function (@pxref{Parsing of
 Integers}) and @code{scanf} with the @samp{%i} conversion
 (@pxref{Numeric Input Conversions}).
 
+For the @samp{%m} conversion, print an error constant or decimal error
+number, instead of a (possibly translated) error message.
+
 @item @samp{'}
 Separate the digits into groups as specified by the locale specified for
 the @code{LC_NUMERIC} category; @pxref{General Numeric}.  This flag is a
@@ -2259,8 +2262,9 @@ is equivalent to:
 fprintf (stderr, "can't open `%s': %s\n", filename, strerror (errno));
 @end smallexample
 
-@noindent
-The @samp{%m} conversion is a @glibcadj{} extension.
+The @samp{%m} conversion can be used with the @samp{#} flag to print an
+error constant, as provided by @code{strerrorname_np}.  Both @samp{%m}
+and @samp{%#m} are @glibcadj{} extensions.
 
 The @samp{%p} conversion prints a pointer value.  The corresponding
 argument must be of type @code{void *}.  In practice, you can use any
diff --git a/stdio-common/Makefile b/stdio-common/Makefile
index 803f16dae0..d7bdf5a17e 100644
--- a/stdio-common/Makefile
+++ b/stdio-common/Makefile
@@ -70,7 +70,9 @@ tests := tstscanf test_rdwr test-popen tstgetln test-fseek \
 	 tst-vfprintf-width-prec-alloc \
 	 tst-printf-fp-free \
 	 tst-printf-fp-leak \
-	 test-strerr
+	 test-strerr \
+         tst-sprintf-errno \
+         # tests
 
 
 test-srcs = tst-unbputc tst-printf tst-printfsz-islongdouble
diff --git a/stdio-common/tst-sprintf-errno.c b/stdio-common/tst-sprintf-errno.c
new file mode 100644
index 0000000000..7622fdbc48
--- /dev/null
+++ b/stdio-common/tst-sprintf-errno.c
@@ -0,0 +1,93 @@
+/* Test the %m, %#m printf specifiers via asprintf.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <errno.h>
+#include <libc-diag.h>
+#include <stdio.h>
+#include <support/check.h>
+#include <support/support.h>
+
+/* GCC does not yet know about the %#m specifier.  */
+DIAG_PUSH_NEEDS_COMMENT;
+DIAG_IGNORE_NEEDS_COMMENT (11, "-Wformat=");
+
+static int
+do_test (void)
+{
+  char buf[64];
+
+  errno = EINVAL;
+  TEST_COMPARE (sprintf (buf, "%m"), 16);
+  TEST_COMPARE_STRING (buf, "Invalid argument");
+
+  errno = EINVAL;
+  TEST_COMPARE (sprintf (buf, "%#m"), 6);
+  TEST_COMPARE_STRING (buf, "EINVAL");
+
+  errno = 0;
+  TEST_COMPARE (sprintf (buf, "%m"), 7);
+  TEST_COMPARE_STRING (buf, "Success");
+
+  errno = 0;
+  TEST_COMPARE (sprintf (buf, "%#m"), 1);
+  TEST_COMPARE_STRING (buf, "0");
+
+  errno = -1;
+  TEST_COMPARE (sprintf (buf, "%m"), 16);
+  TEST_COMPARE_STRING (buf, "Unknown error -1");
+
+  errno = -1;
+  TEST_COMPARE (sprintf (buf, "%#m"), 2);
+  TEST_COMPARE_STRING (buf, "-1");
+
+  errno = 1002003;
+  TEST_COMPARE (sprintf (buf, "%m"), 21);
+  TEST_COMPARE_STRING (buf, "Unknown error 1002003");
+
+  errno = 1002003;
+  TEST_COMPARE (sprintf (buf, "%#m"), 7);
+  TEST_COMPARE_STRING (buf, "1002003");
+
+  errno = EINVAL;
+  TEST_COMPARE (sprintf (buf, "%20m"), 20);
+  TEST_COMPARE_STRING (buf, "    Invalid argument");
+
+  errno = EINVAL;
+  TEST_COMPARE (sprintf (buf, "%#20m"), 20);
+  TEST_COMPARE_STRING (buf, "              EINVAL");
+
+  errno = EINVAL;
+  TEST_COMPARE (sprintf (buf, "%-20m"), 20);
+  TEST_COMPARE_STRING (buf, "Invalid argument    ");
+
+  errno = EINVAL;
+  TEST_COMPARE (sprintf (buf, "%-#20m"), 20);
+  TEST_COMPARE_STRING (buf, "EINVAL              ");
+
+  errno = 0;
+  TEST_COMPARE (sprintf (buf, "%-20m"), 20);
+  TEST_COMPARE_STRING (buf, "Success             ");
+
+  errno = 0;
+  TEST_COMPARE (sprintf (buf, "%-#20m"), 20);
+  TEST_COMPARE_STRING (buf, "0                   ");
+
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/stdio-common/vfprintf-internal.c b/stdio-common/vfprintf-internal.c
index 355ba582e6..817edd328f 100644
--- a/stdio-common/vfprintf-internal.c
+++ b/stdio-common/vfprintf-internal.c
@@ -936,11 +936,26 @@ static const uint8_t jump_table[] =
 									      \
     LABEL (form_strerror):						      \
       /* Print description of error ERRNO.  */				      \
-      string =								      \
-	(CHAR_T *) __strerror_r (save_errno, (char *) work_buffer,	      \
-				 WORK_BUFFER_SIZE * sizeof (CHAR_T));	      \
-      is_long = 0;		/* This is no wide-char string.  */	      \
-      goto LABEL (print_string)
+      if (alt)								      \
+	string = (CHAR_T *) __get_errname (save_errno);			      \
+      else								      \
+	string = (CHAR_T *) __strerror_r (save_errno, (char *) work_buffer,   \
+					  WORK_BUFFER_SIZE * sizeof (CHAR_T));\
+      if (string == NULL)						\
+	{								      \
+          /* Print as a decimal number. */				      \
+          base = 10;							      \
+	  is_negative = save_errno < 0;					      \
+	  number.word = save_errno;					      \
+	  if (is_negative)						      \
+	    number.word = -number.word;					      \
+	  goto LABEL (number);						      \
+	}								      \
+      else								      \
+	{								      \
+	  is_long = 0;	/* This is no wide-char string.  */		      \
+	  goto LABEL (print_string);					      \
+	}
 
 #ifdef COMPILE_WPRINTF
 # define process_string_arg()						      \
