100201232131 has 96 divisors (see below), whose sum is σ = 139927011840. Its totient is φ = 69629414400.

The previous prime is 100201232111. The next prime is 100201232137. The reversal of 100201232131 is 131232102001.

It is not a de Polignac number, because 100201232131 - 2¹³ = 100201223939 is a prime.

It is a super-2 number, since 2×100201232131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201232137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58154236 + ... + 58155958.

It is an arithmetic number, because the mean of its divisors is an integer number (1457573040).

Almost surely, 2^100201232131 is an apocalyptic number.

100201232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201232131 is a deficient number, since it is larger than the sum of its proper divisors (39725779709).

100201232131 is a wasteful number, since it uses less digits than its factorization.

100201232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1904 counting only the distinct ones).

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

Adding to 100201232131 its reverse (131232102001), we get a palindrome (231433334132).

The spelling of 100201232131 in words is "one hundred billion, two hundred one million, two hundred thirty-two thousand, one hundred thirty-one".