212223312311117 has 2 divisors, whose sum is σ = 212223312311118. Its totient is φ = 212223312311116.

The previous prime is 212223312311113. The next prime is 212223312311119. The reversal of 212223312311117 is 711113213322212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136921685433316 + 75301626877801 = 11701354^2 + 8677651^2 .

It is a cyclic number.

It is not a de Polignac number, because 212223312311117 - 2² = 212223312311113 is a prime.

Together with 212223312311119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212223312311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106111656155558 + 106111656155559.

It is an arithmetic number, because the mean of its divisors is an integer number (106111656155559).

Almost surely, 2^{212223312311117} is an apocalyptic number.

It is an amenable number.

212223312311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212223312311117 is an equidigital number, since it uses as much as digits as its factorization.

212223312311117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

Adding to 212223312311117 its reverse (711113213322212), we get a palindrome (923336525633329).

The spelling of 212223312311117 in words is "two hundred twelve trillion, two hundred twenty-three billion, three hundred twelve million, three hundred eleven thousand, one hundred seventeen".