100322122131 has 128 divisors (see below), whose sum is σ = 193794785280. Its totient is φ = 49736332800.

The previous prime is 100322122111. The next prime is 100322122171. The reversal of 100322122131 is 131221223001.

It is not a de Polignac number, because 100322122131 - 2⁵ = 100322122099 is a prime.

It is a super-2 number, since 2×100322122131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100322122111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23476011 + ... + 23480283.

It is an arithmetic number, because the mean of its divisors is an integer number (1514021760).

Almost surely, 2^100322122131 is an apocalyptic number.

100322122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100322122131 is a deficient number, since it is larger than the sum of its proper divisors (93472663149).

100322122131 is a wasteful number, since it uses less digits than its factorization.

100322122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100322122131 its reverse (131221223001), we get a palindrome (231543345132).

The spelling of 100322122131 in words is "one hundred billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-one".