212211312217 has 2 divisors, whose sum is σ = 212211312218. Its totient is φ = 212211312216.

The previous prime is 212211312179. The next prime is 212211312223. The reversal of 212211312217 is 712213112212.

212211312217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201016825801 + 11194486416 = 448349^2 + 105804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212211312217 is a prime.

It is a super-2 number, since 2×212211312217² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212211312191 and 212211312200.

It is not a weakly prime, because it can be changed into another prime (212211312017) 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, 106105656108 + 106105656109.

It is an arithmetic number, because the mean of its divisors is an integer number (106105656109).

Almost surely, 2^212211312217 is an apocalyptic number.

It is an amenable number.

212211312217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211312217 is an equidigital number, since it uses as much as digits as its factorization.

212211312217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 25.

Adding to 212211312217 its reverse (712213112212), we get a palindrome (924424424429).

The spelling of 212211312217 in words is "two hundred twelve billion, two hundred eleven million, three hundred twelve thousand, two hundred seventeen".