211221227122117 has 2 divisors, whose sum is σ = 211221227122118. Its totient is φ = 211221227122116.

The previous prime is 211221227122109. The next prime is 211221227122231. The reversal of 211221227122117 is 711221722122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171365667230241 + 39855559891876 = 13090671^2 + 6313126^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221227122117 - 2³ = 211221227122109 is a prime.

It is a super-2 number, since 2×211221227122117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221227122417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610613561058 + 105610613561059.

It is an arithmetic number, because the mean of its divisors is an integer number (105610613561059).

Almost surely, 2^{211221227122117} is an apocalyptic number.

It is an amenable number.

211221227122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221227122117 is an equidigital number, since it uses as much as digits as its factorization.

211221227122117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6272, while the sum is 34.

Adding to 211221227122117 its reverse (711221722122112), we get a palindrome (922442949244229).

The spelling of 211221227122117 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-seven million, one hundred twenty-two thousand, one hundred seventeen".