10102322131 has 32 divisors (see below), whose sum is σ = 12239175168. Its totient is φ = 8225226240.

The previous prime is 10102322123. The next prime is 10102322171. The reversal of 10102322131 is 13122320101.

10102322131 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 10102322131 - 2³ = 10102322123 is a prime.

It is a super-2 number, since 2×10102322131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102322171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841336 + ... + 853258.

It is an arithmetic number, because the mean of its divisors is an integer number (382474224).

Almost surely, 2^10102322131 is an apocalyptic number.

10102322131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102322131 is a deficient number, since it is larger than the sum of its proper divisors (2136853037).

10102322131 is a wasteful number, since it uses less digits than its factorization.

10102322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102322131 its reverse (13122320101), we get a palindrome (23224642232).

It can be divided in two parts, 10102 and 322131, that added together give a palindrome (332233).

The spelling of 10102322131 in words is "ten billion, one hundred two million, three hundred twenty-two thousand, one hundred thirty-one".