2102120100112 has 20 divisors (see below), whose sum is σ = 4312437558876. Its totient is φ = 989232988160.

The previous prime is 2102120100103. The next prime is 2102120100149. The reversal of 2102120100112 is 2110010212012.

It can be written as a sum of positive squares in 2 ways, for example, as 1123057345536 + 979062754576 = 1059744^2 + 989476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2102120100092 and 2102120100101.

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, 3864191089 + ... + 3864191632.

Almost surely, 2^{2102120100112} is an apocalyptic number.

It is an amenable number.

2102120100112 is an abundant number, since it is smaller than the sum of its proper divisors (2210317458764).

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

2102120100112 is a wasteful number, since it uses less digits than its factorization.

2102120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728382746 (or 7728382740 counting only the distinct ones).

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

Adding to 2102120100112 its reverse (2110010212012), we get a palindrome (4212130312124).

The spelling of 2102120100112 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred thousand, one hundred twelve".