321233330201121 has 12 divisors (see below), whose sum is σ = 499696291424148. Its totient is φ = 197682049354464.

The previous prime is 321233330201117. The next prime is 321233330201123. The reversal of 321233330201121 is 121102033332123.

321233330201121 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 3 + 3 + 330 + 201 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89154461002896 + 232078869198225 = 9442164^2 + 15234135^2 .

It is not a de Polignac number, because 321233330201121 - 2² = 321233330201117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321233330201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372792009290 + ... + 1372792009523.

It is an arithmetic number, because the mean of its divisors is an integer number (41641357618679).

Almost surely, 2^{321233330201121} is an apocalyptic number.

It is an amenable number.

321233330201121 is a deficient number, since it is larger than the sum of its proper divisors (178462961223027).

321233330201121 is a wasteful number, since it uses less digits than its factorization.

321233330201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745584018832 (or 2745584018829 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 321233330201121 its reverse (121102033332123), we get a palindrome (442335363533244).

The spelling of 321233330201121 in words is "three hundred twenty-one trillion, two hundred thirty-three billion, three hundred thirty million, two hundred one thousand, one hundred twenty-one".