212210100222137 has 2 divisors, whose sum is σ = 212210100222138. Its totient is φ = 212210100222136.

The previous prime is 212210100222067. The next prime is 212210100222193. The reversal of 212210100222137 is 731222001012212.

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., 211828696400896 + 381403821241 = 14554336^2 + 617579^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210100222137 - 2¹⁶ = 212210100156601 is a prime.

It is not a weakly prime, because it can be changed into another prime (212210100224137) 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, 106105050111068 + 106105050111069.

It is an arithmetic number, because the mean of its divisors is an integer number (106105050111069).

Almost surely, 2^{212210100222137} is an apocalyptic number.

It is an amenable number.

212210100222137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210100222137 is an equidigital number, since it uses as much as digits as its factorization.

212210100222137 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 26.

Adding to 212210100222137 its reverse (731222001012212), we get a palindrome (943432101234349).

The spelling of 212210100222137 in words is "two hundred twelve trillion, two hundred ten billion, one hundred million, two hundred twenty-two thousand, one hundred thirty-seven".