10100002131 has 8 divisors (see below), whose sum is σ = 14962966160. Its totient is φ = 6733334736.

The previous prime is 10100002117. The next prime is 10100002139. The reversal of 10100002131 is 13120000101.

It is not a de Polignac number, because 10100002131 - 2²⁷ = 9965784403 is a prime.

It is a super-2 number, since 2×10100002131² (a number of 21 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 (10100002139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187037050 + ... + 187037103.

It is an arithmetic number, because the mean of its divisors is an integer number (1870370770).

Almost surely, 2^10100002131 is an apocalyptic number.

10100002131 is a deficient number, since it is larger than the sum of its proper divisors (4862964029).

10100002131 is an equidigital number, since it uses as much as digits as its factorization.

10100002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374074162 (or 374074156 counting only the distinct ones).

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

Adding to 10100002131 its reverse (13120000101), we get a palindrome (23220002232).

The spelling of 10100002131 in words is "ten billion, one hundred million, two thousand, one hundred thirty-one".