101516418307812 has 24 divisors (see below), whose sum is σ = 236883971973376. Its totient is φ = 33837044780448.

The previous prime is 101516418307771. The next prime is 101516418307823. The reversal of 101516418307812 is 218703814615101.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219925108 + ... + 220386219.

Almost surely, 2^{101516418307812} is an apocalyptic number.

101516418307812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101516418307812 is an abundant number, since it is smaller than the sum of its proper divisors (135367553665564).

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

101516418307812 is a wasteful number, since it uses less digits than its factorization.

101516418307812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440330547 (or 440330545 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 101516418307812 in words is "one hundred one trillion, five hundred sixteen billion, four hundred eighteen million, three hundred seven thousand, eight hundred twelve".