100121591808 has 720 divisors, whose sum is σ = 358602048000. Its totient is φ = 27497594880.

The previous prime is 100121591753. The next prime is 100121591821. The reversal of 100121591808 is 808195121001.

100121591808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671956918 + ... + 671957066.

It is an arithmetic number, because the mean of its divisors is an integer number (498058400).

Almost surely, 2^100121591808 is an apocalyptic number.

100121591808 is a gapful number since it is divisible by the number (18) 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 100121591808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179301024000).

100121591808 is an abundant number, since it is smaller than the sum of its proper divisors (258480456192).

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

100121591808 is an equidigital number, since it uses as much as digits as its factorization.

100121591808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 100121591808 in words is "one hundred billion, one hundred twenty-one million, five hundred ninety-one thousand, eight hundred eight".