100198070089800 has 384 divisors, whose sum is σ = 319433114972160. Its totient is φ = 25971766732800.

The previous prime is 100198070089787. The next prime is 100198070089807. The reversal of 100198070089800 is 8980070891001.

100198070089800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100198070089807) 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, 10284103729 + ... + 10284113471.

It is an arithmetic number, because the mean of its divisors is an integer number (831857070240).

Almost surely, 2^{100198070089800} is an apocalyptic number.

100198070089800 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 100198070089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159716557486080).

100198070089800 is an abundant number, since it is smaller than the sum of its proper divisors (219235044882360).

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

100198070089800 is a wasteful number, since it uses less digits than its factorization.

100198070089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13213 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 51.

The spelling of 100198070089800 in words is "one hundred trillion, one hundred ninety-eight billion, seventy million, eighty-nine thousand, eight hundred".