10221313221281 has 2 divisors, whose sum is σ = 10221313221282. Its totient is φ = 10221313221280.

The previous prime is 10221313221257. The next prime is 10221313221359. The reversal of 10221313221281 is 18212231312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9144823969681 + 1076489251600 = 3024041^2 + 1037540^2 .

It is an emirp because it is prime and its reverse (18212231312201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221313221281 - 2¹⁴ = 10221313204897 is a prime.

It is a super-2 number, since 2×10221313221281² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221313221221) 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, 5110656610640 + 5110656610641.

It is an arithmetic number, because the mean of its divisors is an integer number (5110656610641).

Almost surely, 2^{10221313221281} is an apocalyptic number.

It is an amenable number.

10221313221281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221313221281 is an equidigital number, since it uses as much as digits as its factorization.

10221313221281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 10221313221281 its reverse (18212231312201), we get a palindrome (28433544533482).

The spelling of 10221313221281 in words is "ten trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred eighty-one".