2122200202121 has 2 divisors, whose sum is σ = 2122200202122. Its totient is φ = 2122200202120.

The previous prime is 2122200202081. The next prime is 2122200202123. The reversal of 2122200202121 is 1212020022212.

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., 1338160790521 + 784039411600 = 1156789^2 + 885460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122200202121 is a prime.

Together with 2122200202123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122200202121.

It is not a weakly prime, because it can be changed into another prime (2122200202123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061100101060 + 1061100101061.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100101061).

Almost surely, 2^{2122200202121} is an apocalyptic number.

It is an amenable number.

2122200202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122200202121 is an equidigital number, since it uses as much as digits as its factorization.

2122200202121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122200202121 its reverse (1212020022212), we get a palindrome (3334220224333).

The spelling of 2122200202121 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred two thousand, one hundred twenty-one".