10112120100200 has 48 divisors (see below), whose sum is σ = 23513200510860. Its totient is φ = 4044414272000.

The previous prime is 10112120100167. The next prime is 10112120100311. The reversal of 10112120100200 is 200102121101.

It can be written as a sum of positive squares in 6 ways, for example, as 1397261115364 + 8714858984836 = 1182058^2 + 2952094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 838181 + ... + 4574580.

Almost surely, 2^{10112120100200} is an apocalyptic number.

10112120100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112120100200 is an abundant number, since it is smaller than the sum of its proper divisors (13401080410660).

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

10112120100200 is a wasteful number, since it uses less digits than its factorization.

10112120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422118 (or 5422109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112120100200 its reverse (200102121101), we get a palindrome (10312222221301).

The spelling of 10112120100200 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, one hundred thousand, two hundred".