101599898400000 has 6912 divisors, whose sum is σ = 521922434826240. Its totient is φ = 18811699200000.

The previous prime is 101599898399953. The next prime is 101599898400031. The reversal of 101599898400000 is 4898995101.

101599898400000 is a `hidden beast` number, since 1 + 0 + 1 + 599 + 8 + 9 + 8 + 40 + 0 + 0 + 0 + 0 = 666.

101599898400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101599898400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 799999199937 + ... + 799999200063.

It is an arithmetic number, because the mean of its divisors is an integer number (75509611520).

Almost surely, 2^{101599898400000} is an apocalyptic number.

101599898400000 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 101599898400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260961217413120).

101599898400000 is an abundant number, since it is smaller than the sum of its proper divisors (420322536426240).

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

101599898400000 is a wasteful number, since it uses less digits than its factorization.

101599898400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 101599898400000 in words is "one hundred one trillion, five hundred ninety-nine billion, eight hundred ninety-eight million, four hundred thousand".