101899948800 has 432 divisors, whose sum is σ = 381238376960. Its totient is φ = 23761797120.

The previous prime is 101899948771. The next prime is 101899948849. The reversal of 101899948800 is 8849998101.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4731657 + ... + 4753143.

Almost surely, 2^101899948800 is an apocalyptic number.

101899948800 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 101899948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190619188480).

101899948800 is an abundant number, since it is smaller than the sum of its proper divisors (279338428160).

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

101899948800 is a wasteful number, since it uses less digits than its factorization.

101899948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21548 (or 21529 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 57.

The spelling of 101899948800 in words is "one hundred one billion, eight hundred ninety-nine million, nine hundred forty-eight thousand, eight hundred".