321221212133201 has 2 divisors, whose sum is σ = 321221212133202. Its totient is φ = 321221212133200.

The previous prime is 321221212133197. The next prime is 321221212133219. The reversal of 321221212133201 is 102331212122123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314999455154176 + 6221756979025 = 17748224^2 + 2494345^2 .

It is a cyclic number.

It is not a de Polignac number, because 321221212133201 - 2² = 321221212133197 is a prime.

It is not a weakly prime, because it can be changed into another prime (321221212133281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160610606066600 + 160610606066601.

It is an arithmetic number, because the mean of its divisors is an integer number (160610606066601).

Almost surely, 2^{321221212133201} is an apocalyptic number.

It is an amenable number.

321221212133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

321221212133201 is an equidigital number, since it uses as much as digits as its factorization.

321221212133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 321221212133201 its reverse (102331212122123), we get a palindrome (423552424255324).

The spelling of 321221212133201 in words is "three hundred twenty-one trillion, two hundred twenty-one billion, two hundred twelve million, one hundred thirty-three thousand, two hundred one".