102101123321131 has 24 divisors (see below), whose sum is σ = 113464965827520. Its totient is φ = 91113820660800.

The previous prime is 102101123321123. The next prime is 102101123321233. The reversal of 102101123321131 is 131123321101201.

It is not a de Polignac number, because 102101123321131 - 2³ = 102101123321123 is a prime.

It is a super-2 number, since 2×102101123321131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101123321531) 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, 8241180 + ... + 16496038.

It is an arithmetic number, because the mean of its divisors is an integer number (4727706909480).

Almost surely, 2^{102101123321131} is an apocalyptic number.

102101123321131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102101123321131 is a deficient number, since it is larger than the sum of its proper divisors (11363842506389).

102101123321131 is an equidigital number, since it uses as much as digits as its factorization.

102101123321131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255227 (or 8255154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 102101123321131 its reverse (131123321101201), we get a palindrome (233224444422332).

The spelling of 102101123321131 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred thirty-one".