211222120112137 has 2 divisors, whose sum is σ = 211222120112138. Its totient is φ = 211222120112136.

The previous prime is 211222120112057. The next prime is 211222120112243. The reversal of 211222120112137 is 731211021222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203146270137721 + 8075849974416 = 14252939^2 + 2841804^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222120112137 - 2⁴³ = 202426027089929 is a prime.

It is a super-2 number, since 2×211222120112137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211222120112837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611060056068 + 105611060056069.

It is an arithmetic number, because the mean of its divisors is an integer number (105611060056069).

Almost surely, 2^{211222120112137} is an apocalyptic number.

It is an amenable number.

211222120112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222120112137 is an equidigital number, since it uses as much as digits as its factorization.

211222120112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 211222120112137 its reverse (731211021222112), we get a palindrome (942433141334249).

The spelling of 211222120112137 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred thirty-seven".