100122012100 has 72 divisors (see below), whose sum is σ = 238882710528. Its totient is φ = 36121276800.

The previous prime is 100122012079. The next prime is 100122012131. The reversal of 100122012100 is 1210221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218647 + ... + 498046.

It is an arithmetic number, because the mean of its divisors is an integer number (3317815424).

Almost surely, 2^100122012100 is an apocalyptic number.

100122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122012100 is an abundant number, since it is smaller than the sum of its proper divisors (138760698428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122012100 is a wasteful number, since it uses less digits than its factorization.

100122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716845 (or 716838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100122012100 its reverse (1210221001), we get a palindrome (101332233101).

The spelling of 100122012100 in words is "one hundred billion, one hundred twenty-two million, twelve thousand, one hundred".