100117331652 has 96 divisors (see below), whose sum is σ = 256823284480. Its totient is φ = 30167354880.

The previous prime is 100117331593. The next prime is 100117331653. The reversal of 100117331652 is 256133711001.

It is a super-2 number, since 2×100117331652² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100117331653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2156193 + ... + 2202135.

Almost surely, 2^100117331652 is an apocalyptic number.

100117331652 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 100117331652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128411642240).

100117331652 is an abundant number, since it is smaller than the sum of its proper divisors (156705952828).

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

100117331652 is a wasteful number, since it uses less digits than its factorization.

100117331652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46253 (or 46251 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 100117331652 in words is "one hundred billion, one hundred seventeen million, three hundred thirty-one thousand, six hundred fifty-two".