diff --git a/pandas/tests/series/test_arithmetic.py b/pandas/tests/series/test_arithmetic.py
index c577e15b6d8f5..35096540c70d3 100644
--- a/pandas/tests/series/test_arithmetic.py
+++ b/pandas/tests/series/test_arithmetic.py
@@ -909,3 +909,11 @@ def test_series_varied_multiindex_alignment():
         ),
     )
     tm.assert_series_equal(result, expected)
+
+
+def test_rmod_consistent_large_series():
+    # GH 29602
+    result = Series([2] * 10001).rmod(-1)
+    expected = Series([1] * 10001)
+
+    tm.assert_series_equal(result, expected)