2101122220120 has 64 divisors (see below), whose sum is σ = 5894057145600. Its totient is φ = 654895236480.

The previous prime is 2101122220037. The next prime is 2101122220139. The reversal of 2101122220120 is 210222211012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2101122220094 and 2101122220103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341088190 + ... + 341094349.

It is an arithmetic number, because the mean of its divisors is an integer number (92094642900).

Almost surely, 2^{2101122220120} is an apocalyptic number.

2101122220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101122220120 is an abundant number, since it is smaller than the sum of its proper divisors (3792934925480).

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

2101122220120 is a wasteful number, since it uses less digits than its factorization.

2101122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682182568 (or 682182564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2101122220120 its reverse (210222211012), we get a palindrome (2311344431132).

It can be divided in two parts, 2101 and 122220120, that added together give a palindrome (122222221).

The spelling of 2101122220120 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".