251201121102152 has 16 divisors (see below), whose sum is σ = 507233032994940. Its totient is φ = 115938978970176.

The previous prime is 251201121102101. The next prime is 251201121102167.

251201121102152 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 251170958443876 + 30162658276 = 15848374^2 + 173674^2 .

It is a super-2 number, since 2×251201121102152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1207697697503 + ... + 1207697697710.

Almost surely, 2^{251201121102152} is an apocalyptic number.

It is an amenable number.

251201121102152 is an abundant number, since it is smaller than the sum of its proper divisors (256031911892788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251201121102152 is a wasteful number, since it uses less digits than its factorization.

251201121102152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415395395232 (or 2415395395228 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 26.

The spelling of 251201121102152 in words is "two hundred fifty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred fifty-two".