102010113022131 has 32 divisors (see below), whose sum is σ = 156171749437440. Its totient is φ = 65767514652000.

The previous prime is 102010113022121. The next prime is 102010113022157. The reversal of 102010113022131 is 131220311010201.

It is not a de Polignac number, because 102010113022131 - 2⁵ = 102010113022099 is a prime.

It is a super-2 number, since 2×102010113022131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010113022121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 434853075 + ... + 435087596.

It is an arithmetic number, because the mean of its divisors is an integer number (4880367169920).

Almost surely, 2^{102010113022131} is an apocalyptic number.

102010113022131 is a deficient number, since it is larger than the sum of its proper divisors (54161636415309).

102010113022131 is a wasteful number, since it uses less digits than its factorization.

102010113022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869940824 (or 869940818 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102010113022131 its reverse (131220311010201), we get a palindrome (233230424032332).

The spelling of 102010113022131 in words is "one hundred two trillion, ten billion, one hundred thirteen million, twenty-two thousand, one hundred thirty-one".