2112110002120 has 16 divisors (see below), whose sum is σ = 4752247504860. Its totient is φ = 844844000832.

The previous prime is 2112110002117. The next prime is 2112110002183. The reversal of 2112110002120 is 212000112112.

It can be written as a sum of positive squares in 2 ways, for example, as 1910327565316 + 201782436804 = 1382146^2 + 449202^2 .

It is a super-2 number, since 2×2112110002120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112110002120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26401374987 + ... + 26401375066.

Almost surely, 2^{2112110002120} is an apocalyptic number.

2112110002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112110002120 is an abundant number, since it is smaller than the sum of its proper divisors (2640137502740).

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

2112110002120 is a wasteful number, since it uses less digits than its factorization.

2112110002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52802750064 (or 52802750060 counting only the distinct ones).

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

Adding to 2112110002120 its reverse (212000112112), we get a palindrome (2324110114232).

The spelling of 2112110002120 in words is "two trillion, one hundred twelve billion, one hundred ten million, two thousand, one hundred twenty".