211100110102120 has 64 divisors (see below), whose sum is σ = 475339992019200. Its totient is φ = 84375205148160.

The previous prime is 211100110102117. The next prime is 211100110102127. The reversal of 211100110102120 is 21201011001112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211100110102120.

It is not an unprimeable number, because it can be changed into a prime (211100110102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052034285 + ... + 2052137155.

It is an arithmetic number, because the mean of its divisors is an integer number (7427187375300).

Almost surely, 2^{211100110102120} is an apocalyptic number.

211100110102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100110102120 is an abundant number, since it is smaller than the sum of its proper divisors (264239881917080).

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

211100110102120 is a wasteful number, since it uses less digits than its factorization.

211100110102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141778 (or 141774 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211100110102120 its reverse (21201011001112), we get a palindrome (232301121103232).

The spelling of 211100110102120 in words is "two hundred eleven trillion, one hundred billion, one hundred ten million, one hundred two thousand, one hundred twenty".