10102112112200 has 24 divisors (see below), whose sum is σ = 23487410661330. Its totient is φ = 4040844844800.

The previous prime is 10102112112199. The next prime is 10102112112241. The reversal of 10102112112200 is 221121120101.

It can be written as a sum of positive squares in 3 ways, for example, as 8751882056164 + 1350230056036 = 2958358^2 + 1161994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25255280081 + ... + 25255280480.

Almost surely, 2^{10102112112200} is an apocalyptic number.

10102112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102112112200 is an abundant number, since it is smaller than the sum of its proper divisors (13385298549130).

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

10102112112200 is a wasteful number, since it uses less digits than its factorization.

10102112112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50510560577 (or 50510560568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102112112200 its reverse (221121120101), we get a palindrome (10323233232301).

The spelling of 10102112112200 in words is "ten trillion, one hundred two billion, one hundred twelve million, one hundred twelve thousand, two hundred".