102116109888 has 112 divisors (see below), whose sum is σ = 323295020160. Its totient is φ = 31420334592.

The previous prime is 102116109871. The next prime is 102116109889. The reversal of 102116109888 is 888901611201.

102116109888 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 610 + 9 + 8 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (102116109889) 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, 2250420 + ... + 2295347.

It is an arithmetic number, because the mean of its divisors is an integer number (2886562680).

Almost surely, 2^102116109888 is an apocalyptic number.

102116109888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102116109888 is an abundant number, since it is smaller than the sum of its proper divisors (221178910272).

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

102116109888 is a wasteful number, since it uses less digits than its factorization.

102116109888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545801 (or 4545785 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 102116109888 in words is "one hundred two billion, one hundred sixteen million, one hundred nine thousand, eight hundred eighty-eight".