2212102120121 has 2 divisors, whose sum is σ = 2212102120122. Its totient is φ = 2212102120120.

The previous prime is 2212102120099. The next prime is 2212102120177. The reversal of 2212102120121 is 1210212012122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1196967283600 + 1015134836521 = 1094060^2 + 1007539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2212102120121 is a prime.

It is a super-2 number, since 2×2212102120121² (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 2212102120121.

It is not a weakly prime, because it can be changed into another prime (2212102120621) 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, 1106051060060 + 1106051060061.

It is an arithmetic number, because the mean of its divisors is an integer number (1106051060061).

Almost surely, 2^{2212102120121} is an apocalyptic number.

It is an amenable number.

2212102120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212102120121 is an equidigital number, since it uses as much as digits as its factorization.

2212102120121 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 2212102120121 its reverse (1210212012122), we get a palindrome (3422314132243).

It can be divided in two parts, 22 and 12102120121, that multiplied together give a palindrome (266246642662).

The spelling of 2212102120121 in words is "two trillion, two hundred twelve billion, one hundred two million, one hundred twenty thousand, one hundred twenty-one".