2221264274321 has 2 divisors, whose sum is σ = 2221264274322. Its totient is φ = 2221264274320.

The previous prime is 2221264274297. The next prime is 2221264274371. The reversal of 2221264274321 is 1234724621222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2197228113025 + 24036161296 = 1482305^2 + 155036^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221264274321 - 2²⁶ = 2221197165457 is a prime.

It is a super-2 number, since 2×2221264274321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221264274371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110632137160 + 1110632137161.

It is an arithmetic number, because the mean of its divisors is an integer number (1110632137161).

Almost surely, 2^{2221264274321} is an apocalyptic number.

It is an amenable number.

2221264274321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221264274321 is an equidigital number, since it uses as much as digits as its factorization.

2221264274321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 38.

Adding to 2221264274321 its reverse (1234724621222), we get a palindrome (3455988895543).

The spelling of 2221264274321 in words is "two trillion, two hundred twenty-one billion, two hundred sixty-four million, two hundred seventy-four thousand, three hundred twenty-one".