101516856073152 has 56 divisors (see below), whose sum is σ = 289257964907856. Its totient is φ = 31235955714048.

The previous prime is 101516856073093. The next prime is 101516856073169. The reversal of 101516856073152 is 251370658615101.

It is a junction number, because it is equal to n+sod(n) for n = 101516856073095 and 101516856073104.

It is a congruent number.

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, 20335906173 + ... + 20335911164.

It is an arithmetic number, because the mean of its divisors is an integer number (5165320801926).

Almost surely, 2^{101516856073152} is an apocalyptic number.

101516856073152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101516856073152 is an abundant number, since it is smaller than the sum of its proper divisors (187741108834704).

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

101516856073152 is a wasteful number, since it uses less digits than its factorization.

101516856073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40671817365 (or 40671817355 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 101516856073152 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred fifty-six million, seventy-three thousand, one hundred fifty-two".