102001212012112 has 160 divisors (see below), whose sum is σ = 236456847570944. Its totient is φ = 41720059584000.

The previous prime is 102001212012109. The next prime is 102001212012121. The reversal of 102001212012112 is 211210212100201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43210483 + ... + 45509869.

Almost surely, 2^{102001212012112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001212012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118228423785472).

102001212012112 is an abundant number, since it is smaller than the sum of its proper divisors (134455635558832).

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

102001212012112 is a wasteful number, since it uses less digits than its factorization.

102001212012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299657 (or 2299651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102001212012112 its reverse (211210212100201), we get a palindrome (313211424112313).

The spelling of 102001212012112 in words is "one hundred two trillion, one billion, two hundred twelve million, twelve thousand, one hundred twelve".