2112002102120 has 32 divisors (see below), whose sum is σ = 4752093958920. Its totient is φ = 844784977920.

The previous prime is 2112002102101. The next prime is 2112002102149. The reversal of 2112002102120 is 212012002112.

It can be written as a sum of positive squares in 4 ways, for example, as 2084390962564 + 27611139556 = 1443742^2 + 166166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112002102095 and 2112002102104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791440 + ... + 2726400.

Almost surely, 2^{2112002102120} is an apocalyptic number.

2112002102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112002102120 is an abundant number, since it is smaller than the sum of its proper divisors (2640091856800).

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

2112002102120 is a wasteful number, since it uses less digits than its factorization.

2112002102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991445 (or 991441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112002102120 its reverse (212012002112), we get a palindrome (2324014104232).

It can be divided in two parts, 2112002 and 102120, that added together give a palindrome (2214122).

The spelling of 2112002102120 in words is "two trillion, one hundred twelve billion, two million, one hundred two thousand, one hundred twenty".