100202131001 has 24 divisors (see below), whose sum is σ = 116913849120. Its totient is φ = 85628454912.

The previous prime is 100202130979. The next prime is 100202131009. The reversal of 100202131001 is 100131202001.

It is not a de Polignac number, because 100202131001 - 2¹⁸ = 100201868857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202131009) 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, 30098105 + ... + 30101433.

It is an arithmetic number, because the mean of its divisors is an integer number (4871410380).

Almost surely, 2^100202131001 is an apocalyptic number.

It is an amenable number.

100202131001 is a deficient number, since it is larger than the sum of its proper divisors (16711718119).

100202131001 is a wasteful number, since it uses less digits than its factorization.

100202131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100202131001 its reverse (100131202001), we get a palindrome (200333333002).

The spelling of 100202131001 in words is "one hundred billion, two hundred two million, one hundred thirty-one thousand, one".