100322201320321 has 24 divisors (see below), whose sum is σ = 105338204911872. Its totient is φ = 95520417775200.

The previous prime is 100322201320307. The next prime is 100322201320339. The reversal of 100322201320321 is 123023102223001.

It is not a de Polignac number, because 100322201320321 - 2²³ = 100322192931713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100322201320292 and 100322201320301.

It is not an unprimeable number, because it can be changed into a prime (100322201320301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51912816 + ... + 53810638.

It is an arithmetic number, because the mean of its divisors is an integer number (4389091871328).

Almost surely, 2^{100322201320321} is an apocalyptic number.

It is an amenable number.

100322201320321 is a deficient number, since it is larger than the sum of its proper divisors (5016003591551).

100322201320321 is an equidigital number, since it uses as much as digits as its factorization.

100322201320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898773 (or 1898742 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 100322201320321 its reverse (123023102223001), we get a palindrome (223345303543322).

The spelling of 100322201320321 in words is "one hundred trillion, three hundred twenty-two billion, two hundred one million, three hundred twenty thousand, three hundred twenty-one".