100102000002112 has 56 divisors (see below), whose sum is σ = 200801226186432. Its totient is φ = 49507376832000.

The previous prime is 100102000002079. The next prime is 100102000002127. The reversal of 100102000002112 is 211200000201001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845838 + ... + 14174605.

Almost surely, 2^{100102000002112} is an apocalyptic number.

It is an amenable number.

100102000002112 is an abundant number, since it is smaller than the sum of its proper divisors (100699226184320).

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

100102000002112 is a wasteful number, since it uses less digits than its factorization.

100102000002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021587 (or 15021577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102000002112 its reverse (211200000201001), we get a palindrome (311302000203113).

The spelling of 100102000002112 in words is "one hundred trillion, one hundred two billion, two thousand, one hundred twelve".