221221332223321 has 2 divisors, whose sum is σ = 221221332223322. Its totient is φ = 221221332223320.

The previous prime is 221221332223319. The next prime is 221221332223477. The reversal of 221221332223321 is 123322233122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173744560688400 + 47476771534921 = 13181220^2 + 6890339^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221332223321 - 2¹ = 221221332223319 is a prime.

Together with 221221332223319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221221332223921) 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 as a sum of consecutive naturals, namely, 110610666111660 + 110610666111661.

It is an arithmetic number, because the mean of its divisors is an integer number (110610666111661).

Almost surely, 2^{221221332223321} is an apocalyptic number.

It is an amenable number.

221221332223321 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221332223321 is an equidigital number, since it uses as much as digits as its factorization.

221221332223321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 31.

Adding to 221221332223321 its reverse (123322233122122), we get a palindrome (344543565345443).

The spelling of 221221332223321 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred twenty-one".