101575216512 has 512 divisors, whose sum is σ = 395765222400. Its totient is φ = 24830115840.

The previous prime is 101575216499. The next prime is 101575216531. The reversal of 101575216512 is 215612575101.

101575216512 is a `hidden beast` number, since 1 + 0 + 1 + 575 + 21 + 65 + 1 + 2 = 666.

It is a super-2 number, since 2×101575216512² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4512678 + ... + 4535130.

It is an arithmetic number, because the mean of its divisors is an integer number (772978950).

Almost surely, 2^101575216512 is an apocalyptic number.

101575216512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101575216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197882611200).

101575216512 is an abundant number, since it is smaller than the sum of its proper divisors (294190005888).

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

101575216512 is a wasteful number, since it uses less digits than its factorization.

101575216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22511 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 101575216512 in words is "one hundred one billion, five hundred seventy-five million, two hundred sixteen thousand, five hundred twelve".