100090010000 has 100 divisors (see below), whose sum is σ = 250145727744. Its totient is φ = 38744400000.

The previous prime is 100090009967. The next prime is 100090010003. The reversal of 100090010000 is 10090001.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (100090010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148565 + ... + 471435.

Almost surely, 2^100090010000 is an apocalyptic number.

100090010000 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 100090010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125072863872).

100090010000 is an abundant number, since it is smaller than the sum of its proper divisors (150055717744).

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

100090010000 is an equidigital number, since it uses as much as digits as its factorization.

100090010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322930 (or 322909 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The spelling of 100090010000 in words is "one hundred billion, ninety million, ten thousand".