100090919992000 has 448 divisors, whose sum is σ = 301472930094336. Its totient is φ = 32134235750400.

The previous prime is 100090919991991. The next prime is 100090919992033. The reversal of 100090919992000 is 299919090001.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 187277154 + ... + 187810846.

It is an arithmetic number, because the mean of its divisors is an integer number (672930647532).

Almost surely, 2^{100090919992000} is an apocalyptic number.

100090919992000 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 100090919992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150736465047168).

100090919992000 is an abundant number, since it is smaller than the sum of its proper divisors (201382010102336).

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

100090919992000 is a wasteful number, since it uses less digits than its factorization.

100090919992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533941 (or 533921 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 49.

The spelling of 100090919992000 in words is "one hundred trillion, ninety billion, nine hundred nineteen million, nine hundred ninety-two thousand".