102111111112112 has 80 divisors (see below), whose sum is σ = 198516610641600. Its totient is φ = 50881399296000.

The previous prime is 102111111112111. The next prime is 102111111112117. The reversal of 102111111112112 is 211211111111201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102111111112111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17362879412 + ... + 17362885292.

It is an arithmetic number, because the mean of its divisors is an integer number (2481457633020).

Almost surely, 2^{102111111112112} is an apocalyptic number.

It is an amenable number.

102111111112112 is a deficient number, since it is larger than the sum of its proper divisors (96405499529488).

102111111112112 is a wasteful number, since it uses less digits than its factorization.

102111111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 102111111112112 its reverse (211211111111201), we get a palindrome (313322222223313).

The spelling of 102111111112112 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".