100102201002112 has 32 divisors (see below), whose sum is σ = 209918266909200. Its totient is φ = 47416832052480.

The previous prime is 100102201002073. The next prime is 100102201002119. The reversal of 100102201002112 is 211200102201001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 100102201002092 and 100102201002101.

It is not an unprimeable number, because it can be changed into a prime (100102201002119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20580219814 + ... + 20580224677.

Almost surely, 2^{100102201002112} is an apocalyptic number.

It is an amenable number.

100102201002112 is an abundant number, since it is smaller than the sum of its proper divisors (109816065907088).

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

100102201002112 is an equidigital number, since it uses as much as digits as its factorization.

100102201002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41160444524 (or 41160444512 counting only the distinct ones).

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

Adding to 100102201002112 its reverse (211200102201001), we get a palindrome (311302303203113).

The spelling of 100102201002112 in words is "one hundred trillion, one hundred two billion, two hundred one million, two thousand, one hundred twelve".