100221338880 has 360 divisors, whose sum is σ = 386200877832. Its totient is φ = 24669536256.

The previous prime is 100221338879. The next prime is 100221338881. The reversal of 100221338880 is 88833122001.

It is an interprime number because it is at equal distance from previous prime (100221338879) and next prime (100221338881).

It can be written as a sum of positive squares in 4 ways, for example, as 2217279744 + 98004059136 = 47088^2 + 313056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221338881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1310662 + ... + 1385018.

Almost surely, 2^100221338880 is an apocalyptic number.

100221338880 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 100221338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193100438916).

100221338880 is an abundant number, since it is smaller than the sum of its proper divisors (285979538952).

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

100221338880 is an equidigital number, since it uses as much as digits as its factorization.

100221338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74403 (or 74380 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 100221338880 in words is "one hundred billion, two hundred twenty-one million, three hundred thirty-eight thousand, eight hundred eighty".