101516883642416 has 20 divisors (see below), whose sum is σ = 214569776790024. Its totient is φ = 46144038019200.

The previous prime is 101516883642277. The next prime is 101516883642437. The reversal of 101516883642416 is 614246388615101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288400237445 + ... + 288400237796.

Almost surely, 2^{101516883642416} is an apocalyptic number.

101516883642416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101516883642416 is an abundant number, since it is smaller than the sum of its proper divisors (113052893147608).

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

101516883642416 is a wasteful number, since it uses less digits than its factorization.

101516883642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576800475260 (or 576800475254 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 101516883642416 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, six hundred forty-two thousand, four hundred sixteen".