100100919190800 has 240 divisors, whose sum is σ = 359261462884032. Its totient is φ = 23611027507200.

The previous prime is 100100919190777. The next prime is 100100919190859. The reversal of 100100919190800 is 8091919001001.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101990019 + ... + 102966818.

Almost surely, 2^{100100919190800} is an apocalyptic number.

100100919190800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100919190800 is an abundant number, since it is smaller than the sum of its proper divisors (259160543693232).

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

100100919190800 is a wasteful number, since it uses less digits than its factorization.

100100919190800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204956906 (or 204956895 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 39.

The spelling of 100100919190800 in words is "one hundred trillion, one hundred billion, nine hundred nineteen million, one hundred ninety thousand, eight hundred".