100094977899000 has 768 divisors, whose sum is σ = 395029496160000. Its totient is φ = 22850669721600.

The previous prime is 100094977898977. The next prime is 100094977899011. The reversal of 100094977899000 is 998779490001.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2559103444 + ... + 2559142556.

It is an arithmetic number, because the mean of its divisors is an integer number (514361323125).

Almost surely, 2^{100094977899000} is an apocalyptic number.

100094977899000 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 100094977899000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197514748080000).

100094977899000 is an abundant number, since it is smaller than the sum of its proper divisors (294934518261000).

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

100094977899000 is a wasteful number, since it uses less digits than its factorization.

100094977899000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39990 (or 39959 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 100094977899000 in words is "one hundred trillion, ninety-four billion, nine hundred seventy-seven million, eight hundred ninety-nine thousand".