22100221022137 has 2 divisors, whose sum is σ = 22100221022138. Its totient is φ = 22100221022136.

The previous prime is 22100221022093. The next prime is 22100221022149. The reversal of 22100221022137 is 73122012200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19888781379856 + 2211439642281 = 4459684^2 + 1487091^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100221022137 - 2¹⁵ = 22100220989369 is a prime.

It is not a weakly prime, because it can be changed into another prime (22100221032137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050110511068 + 11050110511069.

It is an arithmetic number, because the mean of its divisors is an integer number (11050110511069).

Almost surely, 2^{22100221022137} is an apocalyptic number.

It is an amenable number.

22100221022137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100221022137 is an equidigital number, since it uses as much as digits as its factorization.

22100221022137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 22100221022137 its reverse (73122012200122), we get a palindrome (95222233222259).

The spelling of 22100221022137 in words is "twenty-two trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred thirty-seven".