100891422720 has 1248 divisors, whose sum is σ = 420752666880. Its totient is φ = 22932357120.

The previous prime is 100891422661. The next prime is 100891422757. The reversal of 100891422720 is 27224198001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1040117712 + ... + 1040117808.

It is an arithmetic number, because the mean of its divisors is an integer number (337141560).

Almost surely, 2^100891422720 is an apocalyptic number.

100891422720 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 100891422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210376333440).

100891422720 is an abundant number, since it is smaller than the sum of its proper divisors (319861244160).

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

100891422720 is an equidigital number, since it uses as much as digits as its factorization.

100891422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 10089 and 1422720, that added together give a square (1432809 = 1197²).

The spelling of 100891422720 in words is "one hundred billion, eight hundred ninety-one million, four hundred twenty-two thousand, seven hundred twenty".