100918181910000 has 800 divisors, whose sum is σ = 411793815397888. Its totient is φ = 20717130240000.

The previous prime is 100918181909957. The next prime is 100918181910097. The reversal of 100918181910000 is 19181819001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 100510455 + ... + 101509545.

Almost surely, 2^{100918181910000} is an apocalyptic number.

100918181910000 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 100918181910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205896907698944).

100918181910000 is an abundant number, since it is smaller than the sum of its proper divisors (310875633487888).

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

100918181910000 is a wasteful number, since it uses less digits than its factorization.

100918181910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999179 (or 999158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 39.

The spelling of 100918181910000 in words is "one hundred trillion, nine hundred eighteen billion, one hundred eighty-one million, nine hundred ten thousand".