101866854096000 has 3072 divisors, whose sum is σ = 458406898560000. Its totient is φ = 21775653273600.

The previous prime is 101866854095959. The next prime is 101866854096067. The reversal of 101866854096000 is 690458668101.

101866854096000 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 6 + 6 + 8 + 540 + 96 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 200131343746 + ... + 200131344254.

It is an arithmetic number, because the mean of its divisors is an integer number (149220995625).

Almost surely, 2^{101866854096000} is an apocalyptic number.

101866854096000 is a gapful number since it is divisible by the number (10) 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 101866854096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229203449280000).

101866854096000 is an abundant number, since it is smaller than the sum of its proper divisors (356540044464000).

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

101866854096000 is a wasteful number, since it uses less digits than its factorization.

101866854096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 101866854096000 in words is "one hundred one trillion, eight hundred sixty-six billion, eight hundred fifty-four million, ninety-six thousand".