100009119120 has 80 divisors (see below), whose sum is σ = 328265239680. Its totient is φ = 25100326912.

The previous prime is 100009119107. The next prime is 100009119191. The reversal of 100009119120 is 21911900001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12251940 + ... + 12260099.

It is an arithmetic number, because the mean of its divisors is an integer number (4103315496).

Almost surely, 2^100009119120 is an apocalyptic number.

100009119120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100009119120 is an abundant number, since it is smaller than the sum of its proper divisors (228256120560).

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

100009119120 is a wasteful number, since it uses less digits than its factorization.

100009119120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24512072 (or 24512066 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 100009119120 in words is "one hundred billion, nine million, one hundred nineteen thousand, one hundred twenty".