221002312961 has 2 divisors, whose sum is σ = 221002312962. Its totient is φ = 221002312960.

The previous prime is 221002312931. The next prime is 221002313029. The reversal of 221002312961 is 169213200122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213162273025 + 7840039936 = 461695^2 + 88544^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002312961 - 2⁶ = 221002312897 is a prime.

It is a super-2 number, since 2×221002312961² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221002312931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501156480 + 110501156481.

It is an arithmetic number, because the mean of its divisors is an integer number (110501156481).

Almost surely, 2^221002312961 is an apocalyptic number.

It is an amenable number.

221002312961 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002312961 is an equidigital number, since it uses as much as digits as its factorization.

221002312961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 221002312961 in words is "two hundred twenty-one billion, two million, three hundred twelve thousand, nine hundred sixty-one".