211122137 has 2 divisors, whose sum is σ = 211122138. Its totient is φ = 211122136.

The previous prime is 211122101. The next prime is 211122157. The reversal of 211122137 is 731221112.

It is an a-pointer prime, because the next prime (211122157) can be obtained adding 211122137 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210946576 + 175561 = 14524^2 + 419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211122157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561068 + 105561069.

It is an arithmetic number, because the mean of its divisors is an integer number (105561069).

Almost surely, 2^211122137 is an apocalyptic number.

It is an amenable number.

211122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122137 is an equidigital number, since it uses as much as digits as its factorization.

211122137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 20.

The square root of 211122137 is about 14530.0425670402. The cubic root of 211122137 is about 595.4490285582.

Adding to 211122137 its reverse (731221112), we get a palindrome (942343249).

The spelling of 211122137 in words is "two hundred eleven million, one hundred twenty-two thousand, one hundred thirty-seven".