2112122001221 has 2 divisors, whose sum is σ = 2112122001222. Its totient is φ = 2112122001220.

The previous prime is 2112122001181. The next prime is 2112122001247. The reversal of 2112122001221 is 1221002212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2091812616100 + 20309385121 = 1446310^2 + 142511^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112122001221 - 2³⁴ = 2094942132037 is a prime.

It is a super-2 number, since 2×2112122001221² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112122001221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112122001251) 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, 1056061000610 + 1056061000611.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061000611).

Almost surely, 2^{2112122001221} is an apocalyptic number.

It is an amenable number.

2112122001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122001221 is an equidigital number, since it uses as much as digits as its factorization.

2112122001221 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 17.

Adding to 2112122001221 its reverse (1221002212112), we get a palindrome (3333124213333).

The spelling of 2112122001221 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one thousand, two hundred twenty-one".