10221168657569 has 2 divisors, whose sum is σ = 10221168657570. Its totient is φ = 10221168657568.

The previous prime is 10221168657523. The next prime is 10221168657599. The reversal of 10221168657569 is 96575686112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8073440304400 + 2147728353169 = 2841380^2 + 1465513^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221168657569 - 2¹² = 10221168653473 is a prime.

It is a super-2 number, since 2×10221168657569² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10221168657599) 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, 5110584328784 + 5110584328785.

It is an arithmetic number, because the mean of its divisors is an integer number (5110584328785).

Almost surely, 2^{10221168657569} is an apocalyptic number.

It is an amenable number.

10221168657569 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221168657569 is an equidigital number, since it uses as much as digits as its factorization.

10221168657569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 59.

The spelling of 10221168657569 in words is "ten trillion, two hundred twenty-one billion, one hundred sixty-eight million, six hundred fifty-seven thousand, five hundred sixty-nine".