211122100003817 has 2 divisors, whose sum is σ = 211122100003818. Its totient is φ = 211122100003816.

The previous prime is 211122100003807. The next prime is 211122100003819. The reversal of 211122100003817 is 718300001221112.

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., 152482710895321 + 58639389108496 = 12348389^2 + 7657636^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122100003817 - 2¹⁴ = 211122099987433 is a prime.

It is a super-2 number, since 2×211122100003817² (a number of 29 digits) contains 22 as substring.

Together with 211122100003819, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211122100003817.

It is not a weakly prime, because it can be changed into another prime (211122100003819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561050001908 + 105561050001909.

It is an arithmetic number, because the mean of its divisors is an integer number (105561050001909).

Almost surely, 2^{211122100003817} is an apocalyptic number.

It is an amenable number.

211122100003817 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122100003817 is an equidigital number, since it uses as much as digits as its factorization.

211122100003817 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 29.

Adding to 211122100003817 its reverse (718300001221112), we get a palindrome (929422101224929).

The spelling of 211122100003817 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, three thousand, eight hundred seventeen".