101011568806512 has 960 divisors, whose sum is σ = 373289817922560. Its totient is φ = 25902988683264.

The previous prime is 101011568806451. The next prime is 101011568806571. The reversal of 101011568806512 is 215608865110101.

101011568806512 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 56 + 8 + 80 + 6 + 512 = 666.

It is a super-2 number, since 2×101011568806512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22837793133 + ... + 22837797555.

It is an arithmetic number, because the mean of its divisors is an integer number (388843560336).

Almost surely, 2^{101011568806512} is an apocalyptic number.

101011568806512 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 101011568806512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186644908961280).

101011568806512 is an abundant number, since it is smaller than the sum of its proper divisors (272278249116048).

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

101011568806512 is a wasteful number, since it uses less digits than its factorization.

101011568806512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 101011568806512 in words is "one hundred one trillion, eleven billion, five hundred sixty-eight million, eight hundred six thousand, five hundred twelve".