100098100300800 has 528 divisors, whose sum is σ = 384499222974720. Its totient is φ = 22491769405440.

The previous prime is 100098100300747. The next prime is 100098100300811. The reversal of 100098100300800 is 8003001890001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30140482 + ... + 33296318.

Almost surely, 2^{100098100300800} is an apocalyptic number.

100098100300800 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 100098100300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192249611487360).

100098100300800 is an abundant number, since it is smaller than the sum of its proper divisors (284401122673920).

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

100098100300800 is a wasteful number, since it uses less digits than its factorization.

100098100300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155936 (or 3155913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 100098100300800 in words is "one hundred trillion, ninety-eight billion, one hundred million, three hundred thousand, eight hundred".