2022122122121 has 2 divisors, whose sum is σ = 2022122122122. Its totient is φ = 2022122122120.

The previous prime is 2022122122081. The next prime is 2022122122123. The reversal of 2022122122121 is 1212212212202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1957522783225 + 64599338896 = 1399115^2 + 254164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2022122122121 is a prime.

It is a super-2 number, since 2×2022122122121² (a number of 25 digits) contains 22 as substring.

Together with 2022122122123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2022122122093 and 2022122122102.

It is not a weakly prime, because it can be changed into another prime (2022122122123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011061061060 + 1011061061061.

It is an arithmetic number, because the mean of its divisors is an integer number (1011061061061).

Almost surely, 2^{2022122122121} is an apocalyptic number.

It is an amenable number.

2022122122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022122122121 is an equidigital number, since it uses as much as digits as its factorization.

2022122122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2022122122121 its reverse (1212212212202), we get a palindrome (3234334334323).

The spelling of 2022122122121 in words is "two trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".