22002662264081 has 2 divisors, whose sum is σ = 22002662264082. Its totient is φ = 22002662264080.

The previous prime is 22002662263987. The next prime is 22002662264153. The reversal of 22002662264081 is 18046226620022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20574924049681 + 1427738214400 = 4535959^2 + 1194880^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002662264081 - 2¹⁸ = 22002662001937 is a prime.

It is a super-2 number, since 2×22002662264081² (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 (22002962264081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001331132040 + 11001331132041.

It is an arithmetic number, because the mean of its divisors is an integer number (11001331132041).

Almost surely, 2^{22002662264081} is an apocalyptic number.

It is an amenable number.

22002662264081 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002662264081 is an equidigital number, since it uses as much as digits as its factorization.

22002662264081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 22002662264081 in words is "twenty-two trillion, two billion, six hundred sixty-two million, two hundred sixty-four thousand, eighty-one".