101516883642372 has 96 divisors (see below), whose sum is σ = 271115135520768. Its totient is φ = 29282308560000.

The previous prime is 101516883642277. The next prime is 101516883642437. The reversal of 101516883642372 is 273246388615101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203099754 + ... + 203598977.

It is an arithmetic number, because the mean of its divisors is an integer number (2824115995008).

Almost surely, 2^{101516883642372} is an apocalyptic number.

101516883642372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101516883642372 is an abundant number, since it is smaller than the sum of its proper divisors (169598251878396).

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

101516883642372 is a wasteful number, since it uses less digits than its factorization.

101516883642372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406698841 (or 406698839 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 101516883642372 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, six hundred forty-two thousand, three hundred seventy-two".