101799936000 has 960 divisors, whose sum is σ = 431832360960. Its totient is φ = 23180083200.

The previous prime is 101799935971. The next prime is 101799936001. The reversal of 101799936000 is 639997101.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101799936001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387071869 + ... + 387072131.

It is an arithmetic number, because the mean of its divisors is an integer number (449825376).

Almost surely, 2^101799936000 is an apocalyptic number.

101799936000 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 101799936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215916180480).

101799936000 is an abundant number, since it is smaller than the sum of its proper divisors (330032424960).

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

101799936000 is an frugal number, since it uses more digits than its factorization.

101799936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 101799936000 in words is "one hundred one billion, seven hundred ninety-nine million, nine hundred thirty-six thousand".