diff --git a/pandas/core/strings.py b/pandas/core/strings.py
index b27cfdfe3f1bd..93e6f8a53c804 100644
--- a/pandas/core/strings.py
+++ b/pandas/core/strings.py
@@ -2473,18 +2473,63 @@ def rjust(self, width, fillchar=' '):
 
     def zfill(self, width):
         """
-        Filling left side of strings in the Series/Index with 0.
-        Equivalent to :meth:`str.zfill`.
+        Pad strings in the Series/Index by prepending '0' characters.
+
+        Strings in the Series/Index are padded with '0' characters on the
+        left of the string to reach a total string length  `width`. Strings
+        in the Series/Index with length greater or equal to `width` are
+        unchanged.
 
         Parameters
         ----------
         width : int
-            Minimum width of resulting string; additional characters will be
-            filled with 0
+            Minimum length of resulting string; strings with length less
+            than `width` be prepended with '0' characters.
 
         Returns
         -------
-        filled : Series/Index of objects
+        Series/Index of objects
+
+        See Also
+        --------
+        Series.str.rjust: Fills the left side of strings with an arbitrary
+            character.
+        Series.str.ljust: Fills the right side of strings with an arbitrary
+            character.
+        Series.str.pad: Fills the specified sides of strings with an arbitrary
+            character.
+        Series.str.center: Fills boths sides of strings with an arbitrary
+            character.
+
+        Notes
+        -----
+        Differs from :meth:`str.zfill` which has special handling
+        for '+'/'-' in the string.
+
+        Examples
+        --------
+        >>> s = pd.Series(['-1', '1', '1000', 10, np.nan])
+        >>> s
+        0      -1
+        1       1
+        2    1000
+        3      10
+        4     NaN
+        dtype: object
+
+        Note that ``10`` and ``NaN`` are not strings, therefore they are
+        converted to ``NaN``. The minus sign in ``'-1'`` is treated as a
+        regular character and the zero is added to the left of it
+        (:meth:`str.zfill` would have moved it to the left). ``1000``
+        remains unchanged as it is longer than `width`.
+
+        >>> s.str.zfill(3)
+        0     0-1
+        1     001
+        2    1000
+        3     NaN
+        4     NaN
+        dtype: object
         """
         result = str_pad(self._data, width, side='left', fillchar='0')
         return self._wrap_result(result)