212212013221121 has 2 divisors, whose sum is σ = 212212013221122. Its totient is φ = 212212013221120.

The previous prime is 212212013221069. The next prime is 212212013221139. The reversal of 212212013221121 is 121122310212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211557752250625 + 654260970496 = 14545025^2 + 808864^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212013221121 - 2⁶ = 212212013221057 is a prime.

It is a super-2 number, since 2×212212013221121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212212013221141) 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, 106106006610560 + 106106006610561.

It is an arithmetic number, because the mean of its divisors is an integer number (106106006610561).

Almost surely, 2^{212212013221121} is an apocalyptic number.

It is an amenable number.

212212013221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212013221121 is an equidigital number, since it uses as much as digits as its factorization.

212212013221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 212212013221121 its reverse (121122310212212), we get a palindrome (333334323433333).

The spelling of 212212013221121 in words is "two hundred twelve trillion, two hundred twelve billion, thirteen million, two hundred twenty-one thousand, one hundred twenty-one".