102117334720 has 112 divisors (see below), whose sum is σ = 249038888256. Its totient is φ = 39872000000.

The previous prime is 102117334717. The next prime is 102117334733. The reversal of 102117334720 is 27433711201.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2272470 + ... + 2316970.

Almost surely, 2^102117334720 is an apocalyptic number.

102117334720 is a gapful number since it is divisible by the number (10) 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 102117334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124519444128).

102117334720 is an abundant number, since it is smaller than the sum of its proper divisors (146921553536).

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

102117334720 is a wasteful number, since it uses less digits than its factorization.

102117334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44690 (or 44680 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 102117334720 in words is "one hundred two billion, one hundred seventeen million, three hundred thirty-four thousand, seven hundred twenty".