100122331001 has 24 divisors (see below), whose sum is σ = 125852822592. Its totient is φ = 77968202400.

The previous prime is 100122330961. The next prime is 100122331031. The reversal of 100122331001 is 100133221001.

It is a de Polignac number, because none of the positive numbers 2^k-100122331001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122331031) 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, 1336526 + ... + 1409448.

It is an arithmetic number, because the mean of its divisors is an integer number (5243867608).

Almost surely, 2^100122331001 is an apocalyptic number.

100122331001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122331001 is a deficient number, since it is larger than the sum of its proper divisors (25730491591).

100122331001 is a wasteful number, since it uses less digits than its factorization.

100122331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74573 (or 74562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100122331001 its reverse (100133221001), we get a palindrome (200255552002).

Subtracting 100122331001 from its reverse (100133221001), we obtain a square (10890000 = 3300²).

The spelling of 100122331001 in words is "one hundred billion, one hundred twenty-two million, three hundred thirty-one thousand, one".