101505016510056 has 320 divisors, whose sum is σ = 288017047296000. Its totient is φ = 33396841728000.

The previous prime is 101505016510031. The next prime is 101505016510067. The reversal of 101505016510056 is 650015610505101.

It is a happy number.

101505016510056 is a `hidden beast` number, since 1 + 0 + 1 + 50 + 501 + 6 + 51 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×101505016510056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101505016510056.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22148157541 + ... + 22148162123.

It is an arithmetic number, because the mean of its divisors is an integer number (900053272800).

Almost surely, 2^{101505016510056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101505016510056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144008523648000).

101505016510056 is an abundant number, since it is smaller than the sum of its proper divisors (186512030785944).

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

101505016510056 is a wasteful number, since it uses less digits than its factorization.

101505016510056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 101505016510056 in words is "one hundred one trillion, five hundred five billion, sixteen million, five hundred ten thousand, fifty-six".