2211233440081 has 2 divisors, whose sum is σ = 2211233440082. Its totient is φ = 2211233440080.

The previous prime is 2211233440079. The next prime is 2211233440103. The reversal of 2211233440081 is 1800443321122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2130359180625 + 80874259456 = 1459575^2 + 284384^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211233440081 - 2¹ = 2211233440079 is a prime.

It is a super-2 number, since 2×2211233440081² (a number of 25 digits) contains 22 as substring.

Together with 2211233440079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2211233447081) 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, 1105616720040 + 1105616720041.

It is an arithmetic number, because the mean of its divisors is an integer number (1105616720041).

Almost surely, 2^{2211233440081} is an apocalyptic number.

It is an amenable number.

2211233440081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211233440081 is an equidigital number, since it uses as much as digits as its factorization.

2211233440081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 2211233440081 in words is "two trillion, two hundred eleven billion, two hundred thirty-three million, four hundred forty thousand, eighty-one".