100011110102120 has 64 divisors (see below), whose sum is σ = 257420865542400. Its totient is φ = 34256264855040.

The previous prime is 100011110102117. The next prime is 100011110102153. The reversal of 100011110102120 is 21201011110001.

100011110102120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 172932725 + ... + 173510084.

It is an arithmetic number, because the mean of its divisors is an integer number (4022201024100).

Almost surely, 2^{100011110102120} is an apocalyptic number.

100011110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011110102120 is an abundant number, since it is smaller than the sum of its proper divisors (157409755440280).

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

100011110102120 is a wasteful number, since it uses less digits than its factorization.

100011110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346443858 (or 346443854 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100011110102120 its reverse (21201011110001), we get a palindrome (121212121212121).

The spelling of 100011110102120 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred two thousand, one hundred twenty".