100221332321 has 16 divisors (see below), whose sum is σ = 111142886400. Its totient is φ = 89602022400.

The previous prime is 100221332311. The next prime is 100221332369. The reversal of 100221332321 is 123233122001.

It is not a de Polignac number, because 100221332321 - 2²² = 100217138017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221332293 and 100221332302.

It is not an unprimeable number, because it can be changed into a prime (100221332311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8024960 + ... + 8037438.

It is an arithmetic number, because the mean of its divisors is an integer number (6946430400).

Almost surely, 2^100221332321 is an apocalyptic number.

100221332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221332321 is a deficient number, since it is larger than the sum of its proper divisors (10921554079).

100221332321 is a wasteful number, since it uses less digits than its factorization.

100221332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24520.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100221332321 its reverse (123233122001), we get a palindrome (223454454322).

The spelling of 100221332321 in words is "one hundred billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty-one".