102100000131 has 12 divisors (see below), whose sum is σ = 151463664352. Its totient is φ = 66227026896.

The previous prime is 102100000127. The next prime is 102100000139. The reversal of 102100000131 is 131000001201.

It is not a de Polignac number, because 102100000131 - 2² = 102100000127 is a prime.

It is a super-2 number, since 2×102100000131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153302971 + ... + 153303636.

Almost surely, 2^102100000131 is an apocalyptic number.

102100000131 is a deficient number, since it is larger than the sum of its proper divisors (49363664221).

102100000131 is a wasteful number, since it uses less digits than its factorization.

102100000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306606650 (or 306606647 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102100000131 its reverse (131000001201), we get a palindrome (233100001332).

The spelling of 102100000131 in words is "one hundred two billion, one hundred million, one hundred thirty-one", and thus it is an aban number.