211211214217 has 2 divisors, whose sum is σ = 211211214218. Its totient is φ = 211211214216.

The previous prime is 211211214199. The next prime is 211211214223. The reversal of 211211214217 is 712412112112.

211211214217 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., 194533041481 + 16678172736 = 441059^2 + 129144^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211214217 - 2⁷ = 211211214089 is a prime.

It is a super-2 number, since 2×211211214217² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211214191 and 211211214200.

It is not a weakly prime, because it can be changed into another prime (211211211217) 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, 105605607108 + 105605607109.

It is an arithmetic number, because the mean of its divisors is an integer number (105605607109).

Almost surely, 2^211211214217 is an apocalyptic number.

It is an amenable number.

211211214217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211214217 is an equidigital number, since it uses as much as digits as its factorization.

211211214217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 448, while the sum is 25.

Adding to 211211214217 its reverse (712412112112), we get a palindrome (923623326329).

The spelling of 211211214217 in words is "two hundred eleven billion, two hundred eleven million, two hundred fourteen thousand, two hundred seventeen".