2022120122201 has 2 divisors, whose sum is σ = 2022120122202. Its totient is φ = 2022120122200.

The previous prime is 2022120122173. The next prime is 2022120122203. The reversal of 2022120122201 is 1022210212202.

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., 1346725435225 + 675394686976 = 1160485^2 + 821824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022120122201 - 2⁶ = 2022120122137 is a prime.

It is a super-2 number, since 2×2022120122201² (a number of 25 digits) contains 22 as substring.

Together with 2022120122203, 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 2022120122201.

It is not a weakly prime, because it can be changed into another prime (2022120122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011060061100 + 1011060061101.

It is an arithmetic number, because the mean of its divisors is an integer number (1011060061101).

Almost surely, 2^{2022120122201} is an apocalyptic number.

It is an amenable number.

2022120122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022120122201 is an equidigital number, since it uses as much as digits as its factorization.

2022120122201 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 2022120122201 its reverse (1022210212202), we get a palindrome (3044330334403).

Subtracting from 2022120122201 its reverse (1022210212202), we obtain a palindrome (999909909999).

The spelling of 2022120122201 in words is "two trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred one".