100120122120 has 64 divisors (see below), whose sum is σ = 300886597440. Its totient is φ = 26651923200.

The previous prime is 100120122103. The next prime is 100120122143. The reversal of 100120122120 is 21221021001.

100120122120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100120122096 and 100120122105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662071 + ... + 799110.

It is an arithmetic number, because the mean of its divisors is an integer number (4701353085).

Almost surely, 2^100120122120 is an apocalyptic number.

100120122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120122120 is an abundant number, since it is smaller than the sum of its proper divisors (200766475320).

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

100120122120 is a wasteful number, since it uses less digits than its factorization.

100120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461766 (or 1461762 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120122120 its reverse (21221021001), we get a palindrome (121341143121).

The spelling of 100120122120 in words is "one hundred billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".