100112220120 has 96 divisors (see below), whose sum is σ = 330122162160. Its totient is φ = 24269625600.

The previous prime is 100112220113. The next prime is 100112220137. The reversal of 100112220120 is 21022211001.

100112220120 is digitally balanced in base 3, 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 = 100112220096 and 100112220105.

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, 3432871 + ... + 3461910.

Almost surely, 2^100112220120 is an apocalyptic number.

100112220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112220120 is an abundant number, since it is smaller than the sum of its proper divisors (230009942040).

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

100112220120 is a wasteful number, since it uses less digits than its factorization.

100112220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894817 (or 6894802 counting only the distinct ones).

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

Adding to 100112220120 its reverse (21022211001), we get a palindrome (121134431121).

The spelling of 100112220120 in words is "one hundred billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".