2221011212081 has 2 divisors, whose sum is σ = 2221011212082. Its totient is φ = 2221011212080.

The previous prime is 2221011212059. The next prime is 2221011212087. The reversal of 2221011212081 is 1802121101222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1182527928481 + 1038483283600 = 1087441^2 + 1019060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2221011212081 is a prime.

It is a super-2 number, since 2×2221011212081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221011212087) 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, 1110505606040 + 1110505606041.

It is an arithmetic number, because the mean of its divisors is an integer number (1110505606041).

Almost surely, 2^{2221011212081} is an apocalyptic number.

It is an amenable number.

2221011212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221011212081 is an equidigital number, since it uses as much as digits as its factorization.

2221011212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 2221011212081 in words is "two trillion, two hundred twenty-one billion, eleven million, two hundred twelve thousand, eighty-one".