2112212102120 has 32 divisors (see below), whose sum is σ = 4796077948200. Its totient is φ = 837133602048.

The previous prime is 2112212102113. The next prime is 2112212102123. The reversal of 2112212102120 is 212012122112.

It can be written as a sum of positive squares in 4 ways, for example, as 2080696621444 + 31515480676 = 1442462^2 + 177526^2 .

It is a super-2 number, since 2×2112212102120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112212102123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242221799 + ... + 242230518.

Almost surely, 2^{2112212102120} is an apocalyptic number.

2112212102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112212102120 is an abundant number, since it is smaller than the sum of its proper divisors (2683865846080).

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

2112212102120 is a wasteful number, since it uses less digits than its factorization.

2112212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484452437 (or 484452433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2112212102120 its reverse (212012122112), we get a palindrome (2324224224232).

The spelling of 2112212102120 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty".