322321121101121 has 16 divisors (see below), whose sum is σ = 337670344704000. Its totient is φ = 307315643403600.

The previous prime is 322321121101099. The next prime is 322321121101151. The reversal of 322321121101121 is 121101121123223.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-322321121101121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (322321121101151) 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 15 ways as a sum of consecutive naturals, for example, 284938721 + ... + 286067678.

It is an arithmetic number, because the mean of its divisors is an integer number (21104396544000).

Almost surely, 2^{322321121101121} is an apocalyptic number.

322321121101121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

322321121101121 is a deficient number, since it is larger than the sum of its proper divisors (15349223602879).

322321121101121 is a wasteful number, since it uses less digits than its factorization.

322321121101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571006700.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 322321121101121 its reverse (121101121123223), we get a palindrome (443422242224344).

The spelling of 322321121101121 in words is "three hundred twenty-two trillion, three hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".