101195399468800 has 1728 divisors, whose sum is σ = 323626246594560. Its totient is φ = 30472962048000.

The previous prime is 101195399468767. The next prime is 101195399468857. The reversal of 101195399468800 is 8864993591101.

101195399468800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 559090604710 + ... + 559090604890.

It is an arithmetic number, because the mean of its divisors is an integer number (187283707520).

Almost surely, 2^{101195399468800} is an apocalyptic number.

101195399468800 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 101195399468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161813123297280).

101195399468800 is an abundant number, since it is smaller than the sum of its proper divisors (222430847125760).

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

101195399468800 is a wasteful number, since it uses less digits than its factorization.

101195399468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 64.

The spelling of 101195399468800 in words is "one hundred one trillion, one hundred ninety-five billion, three hundred ninety-nine million, four hundred sixty-eight thousand, eight hundred".