100738882052116 has 36 divisors (see below), whose sum is σ = 223718815990656. Its totient is φ = 39248915084400.

The previous prime is 100738882052111. The next prime is 100738882052129. The reversal of 100738882052116 is 611250288837001.

It is a super-2 number, since 2×100738882052116² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100738882052111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23362447300 + ... + 23362451611.

It is an arithmetic number, because the mean of its divisors is an integer number (6214411555296).

Almost surely, 2^{100738882052116} is an apocalyptic number.

It is an amenable number.

100738882052116 is an abundant number, since it is smaller than the sum of its proper divisors (122979933938540).

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

100738882052116 is a wasteful number, since it uses less digits than its factorization.

100738882052116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46724898940 (or 46724898931 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 100738882052116 in words is "one hundred trillion, seven hundred thirty-eight billion, eight hundred eighty-two million, fifty-two thousand, one hundred sixteen".