102112099992 has 144 divisors (see below), whose sum is σ = 322222071600. Its totient is φ = 29128014720.

The previous prime is 102112099987. The next prime is 102112099993. The reversal of 102112099992 is 299990211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112099993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2203234 + ... + 2249102.

It is an arithmetic number, because the mean of its divisors is an integer number (2237653275).

Almost surely, 2^102112099992 is an apocalyptic number.

102112099992 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 102112099992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161111035800).

102112099992 is an abundant number, since it is smaller than the sum of its proper divisors (220109971608).

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

102112099992 is a wasteful number, since it uses less digits than its factorization.

102112099992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46526 (or 46512 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 102112099992 in words is "one hundred two billion, one hundred twelve million, ninety-nine thousand, nine hundred ninety-two".