22121112012121 has 2 divisors, whose sum is σ = 22121112012122. Its totient is φ = 22121112012120.

The previous prime is 22121112012091. The next prime is 22121112012133. The reversal of 22121112012121 is 12121021112122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11084338369225 + 11036773642896 = 3329315^2 + 3322164^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121112012121 - 2²³ = 22121103623513 is a prime.

It is a super-3 number, since 3×22121112012121³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22121112012161) 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, 11060556006060 + 11060556006061.

It is an arithmetic number, because the mean of its divisors is an integer number (11060556006061).

Almost surely, 2^{22121112012121} is an apocalyptic number.

It is an amenable number.

22121112012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121112012121 is an equidigital number, since it uses as much as digits as its factorization.

22121112012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 22121112012121 its reverse (12121021112122), we get a palindrome (34242133124243).

The spelling of 22121112012121 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred twenty-one".