251201121102153 has 24 divisors (see below), whose sum is σ = 363148487644800. Its totient is φ = 167327865167904.

The previous prime is 251201121102101. The next prime is 251201121102167. The reversal of 251201121102153 is 351201121102152.

251201121102153 is a `hidden beast` number, since 2 + 512 + 0 + 1 + 12 + 110 + 21 + 5 + 3 = 666.

251201121102153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251201121102153 - 2¹⁶ = 251201121036617 is a prime.

It is a super-2 number, since 2×251201121102153² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (251201121106153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95246608 + ... + 97848446.

It is an arithmetic number, because the mean of its divisors is an integer number (15131186985200).

Almost surely, 2^{251201121102153} is an apocalyptic number.

It is an amenable number.

251201121102153 is a deficient number, since it is larger than the sum of its proper divisors (111947366542647).

251201121102153 is a wasteful number, since it uses less digits than its factorization.

251201121102153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610781 (or 2610778 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Subtracting 251201121102153 from its reverse (351201121102152), we obtain a palindrome (99999999999999).

The spelling of 251201121102153 in words is "two hundred fifty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred fifty-three".