5101 is a prime number.
5099 and 5101 form a twin prime pair.
5101 is the initial prime in a set of four consecutive primes with common difference 6 (A033451).
5101 is a prime formed from merging four successive digits in the decimal expansion of e (A104845).
5101 is a prime whose sum of digits is 7 (A062337).
5101 is a centered 17-gonal number (A069130).
5101 has a representation as a sum of two squares: 5101 = 502 + 512. 5101 is a prime that is the sum of at least two consecutive squares (A163251).
5101 is the hypotenuse of a primitive Pythagorean triple: 51012 = 1012 + 51002.
5101 divides 4620 - 1.