211211222222137 has 2 divisors, whose sum is σ = 211211222222138. Its totient is φ = 211211222222136.

The previous prime is 211211222222129. The next prime is 211211222222173. The reversal of 211211222222137 is 731222222112112.

Together with next prime (211211222222173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129402887540521 + 81808334681616 = 11375539^2 + 9044796^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211222222137 - 2³ = 211211222222129 is a prime.

It is a super-2 number, since 2×211211222222137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211222222099 and 211211222222108.

It is not a weakly prime, because it can be changed into another prime (211211222262137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605611111068 + 105605611111069.

It is an arithmetic number, because the mean of its divisors is an integer number (105605611111069).

Almost surely, 2^{211211222222137} is an apocalyptic number.

It is an amenable number.

211211222222137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211222222137 is an equidigital number, since it uses as much as digits as its factorization.

211211222222137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5376, while the sum is 31.

Adding to 211211222222137 its reverse (731222222112112), we get a palindrome (942433444334249).

The spelling of 211211222222137 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-seven".