102012121022031 has 24 divisors (see below), whose sum is σ = 161098115200464. Its totient is φ = 61690242245760.

The previous prime is 102012121022011. The next prime is 102012121022033. The reversal of 102012121022031 is 130220121210201.

102012121022031 is a `hidden beast` number, since 1 + 0 + 201 + 2 + 1 + 210 + 220 + 31 = 666.

It is not a de Polignac number, because 102012121022031 - 2⁵ = 102012121021999 is a prime.

It is a super-2 number, since 2×102012121022031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012121021995 and 102012121022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012121022033) 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, 1127334916 + ... + 1127425401.

It is an arithmetic number, because the mean of its divisors is an integer number (6712421466686).

Almost surely, 2^{102012121022031} is an apocalyptic number.

102012121022031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102012121022031 is a deficient number, since it is larger than the sum of its proper divisors (59085994178433).

102012121022031 is a wasteful number, since it uses less digits than its factorization.

102012121022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254760791 (or 2254760788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102012121022031 its reverse (130220121210201), we get a palindrome (232232242232232).

The spelling of 102012121022031 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, twenty-two thousand, thirty-one".