100998900000 has 720 divisors, whose sum is σ = 382435725672. Its totient is φ = 26127360000.

The previous prime is 100998899993. The next prime is 100998900071. The reversal of 100998900000 is 9899001.

It can be written as a sum of positive squares in 12 ways, for example, as 35980019856 + 65018880144 = 189684^2 + 254988^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299699832 + ... + 299700168.

Almost surely, 2^100998900000 is an apocalyptic number.

100998900000 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 100998900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191217862836).

100998900000 is an abundant number, since it is smaller than the sum of its proper divisors (281436825672).

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

100998900000 is an frugal number, since it uses more digits than its factorization.

100998900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 100998900000 in words is "one hundred billion, nine hundred ninety-eight million, nine hundred thousand".