102001111112112 has 160 divisors (see below), whose sum is σ = 280737896267520. Its totient is φ = 31801710673920.

The previous prime is 102001111112107. The next prime is 102001111112171. The reversal of 102001111112112 is 211211111100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001111112091 and 102001111112100.

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, 152587339 + ... + 153254357.

It is an arithmetic number, because the mean of its divisors is an integer number (1754611851672).

Almost surely, 2^{102001111112112} is an apocalyptic number.

102001111112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001111112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140368948133760).

102001111112112 is an abundant number, since it is smaller than the sum of its proper divisors (178736785155408).

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

102001111112112 is a wasteful number, since it uses less digits than its factorization.

102001111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668211 (or 668205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102001111112112 its reverse (211211111100201), we get a palindrome (313212222212313).

The spelling of 102001111112112 in words is "one hundred two trillion, one billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".