10102112012100 has 72 divisors (see below), whose sum is σ = 30767134145440. Its totient is φ = 2552112506880.

The previous prime is 10102112012063. The next prime is 10102112012123. The reversal of 10102112012100 is 121021120101.

It is a super-2 number, since 2×10102112012100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886144477 + ... + 886155876.

Almost surely, 2^{10102112012100} is an apocalyptic number.

10102112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102112012100 is an abundant number, since it is smaller than the sum of its proper divisors (20665022133340).

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

10102112012100 is a wasteful number, since it uses less digits than its factorization.

10102112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772300389 (or 1772300382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102112012100 its reverse (121021120101), we get a palindrome (10223133132201).

The spelling of 10102112012100 in words is "ten trillion, one hundred two billion, one hundred twelve million, twelve thousand, one hundred".