211211102112137 has 2 divisors, whose sum is σ = 211211102112138. Its totient is φ = 211211102112136.

The previous prime is 211211102112083. The next prime is 211211102112139. The reversal of 211211102112137 is 731211201112112.

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., 209683692850681 + 1527409261456 = 14480459^2 + 1235884^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211102112137 - 2³² = 211206807144841 is a prime.

It is a super-2 number, since 2×211211102112137² (a number of 29 digits) contains 22 as substring.

Together with 211211102112139, 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 (211211102112139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605551056068 + 105605551056069.

It is an arithmetic number, because the mean of its divisors is an integer number (105605551056069).

Almost surely, 2^{211211102112137} is an apocalyptic number.

It is an amenable number.

211211102112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211102112137 is an equidigital number, since it uses as much as digits as its factorization.

211211102112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 26.

Adding to 211211102112137 its reverse (731211201112112), we get a palindrome (942422303224249).

The spelling of 211211102112137 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, one hundred twelve thousand, one hundred thirty-seven".