22122002121137 has 2 divisors, whose sum is σ = 22122002121138. Its totient is φ = 22122002121136.

The previous prime is 22122002121077. The next prime is 22122002121139. The reversal of 22122002121137 is 73112120022122.

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., 19787337303616 + 2334664817521 = 4448296^2 + 1527961^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122002121137 - 2¹² = 22122002117041 is a prime.

Together with 22122002121139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22122002121139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061001060568 + 11061001060569.

It is an arithmetic number, because the mean of its divisors is an integer number (11061001060569).

Almost surely, 2^{22122002121137} is an apocalyptic number.

It is an amenable number.

22122002121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122002121137 is an equidigital number, since it uses as much as digits as its factorization.

22122002121137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 22122002121137 its reverse (73112120022122), we get a palindrome (95234122143259).

The spelling of 22122002121137 in words is "twenty-two trillion, one hundred twenty-two billion, two million, one hundred twenty-one thousand, one hundred thirty-seven".