100212112120 has 64 divisors (see below), whose sum is σ = 226687190400. Its totient is φ = 39869988480.

The previous prime is 100212112079. The next prime is 100212112181. The reversal of 100212112120 is 21211212001.

It is a self number, because there is not a number n which added to its sum of digits gives 100212112120.

It is a congruent number.

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, 19806151 + ... + 19811209.

It is an arithmetic number, because the mean of its divisors is an integer number (3541987350).

Almost surely, 2^100212112120 is an apocalyptic number.

100212112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212112120 is an abundant number, since it is smaller than the sum of its proper divisors (126475078280).

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

100212112120 is a wasteful number, since it uses less digits than its factorization.

100212112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212112120 its reverse (21211212001), we get a palindrome (121423324121).

The spelling of 100212112120 in words is "one hundred billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".