100120120020 has 72 divisors (see below), whose sum is σ = 303880790304. Its totient is φ = 26682602688.

The previous prime is 100120120007. The next prime is 100120120039. The reversal of 100120120020 is 20021021001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100120119984 and 100120120011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133227 + ... + 466893.

It is an arithmetic number, because the mean of its divisors is an integer number (4220566532).

Almost surely, 2^100120120020 is an apocalyptic number.

100120120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120120020 is an abundant number, since it is smaller than the sum of its proper divisors (203760670284).

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

100120120020 is a wasteful number, since it uses less digits than its factorization.

100120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335349 (or 335344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120120020 its reverse (20021021001), we get a palindrome (120141141021).

The spelling of 100120120020 in words is "one hundred billion, one hundred twenty million, one hundred twenty thousand, twenty".