211221222122117 has 2 divisors, whose sum is σ = 211221222122118. Its totient is φ = 211221222122116.

The previous prime is 211221222122077. The next prime is 211221222122201. The reversal of 211221222122117 is 711221222122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182780909083201 + 28440313038916 = 13519649^2 + 5332946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211221222122117 is a prime.

It is a super-2 number, since 2×211221222122117² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221222122117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221227122117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610611061058 + 105610611061059.

It is an arithmetic number, because the mean of its divisors is an integer number (105610611061059).

Almost surely, 2^{211221222122117} is an apocalyptic number.

It is an amenable number.

211221222122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221222122117 is an equidigital number, since it uses as much as digits as its factorization.

211221222122117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1792, while the sum is 29.

Adding to 211221222122117 its reverse (711221222122112), we get a palindrome (922442444244229).

The spelling of 211221222122117 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred seventeen".