101164709596800 has 768 divisors, whose sum is σ = 360039342078720. Its totient is φ = 24871757414400.

The previous prime is 101164709596771. The next prime is 101164709596801. The reversal of 101164709596800 is 8695907461101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101164709596801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5648179845 + ... + 5648197755.

It is an arithmetic number, because the mean of its divisors is an integer number (468801226665).

Almost surely, 2^{101164709596800} is an apocalyptic number.

101164709596800 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 101164709596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180019671039360).

101164709596800 is an abundant number, since it is smaller than the sum of its proper divisors (258874632481920).

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

101164709596800 is a wasteful number, since it uses less digits than its factorization.

101164709596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18661 (or 18644 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 101164709596800 in words is "one hundred one trillion, one hundred sixty-four billion, seven hundred nine million, five hundred ninety-six thousand, eight hundred".