211101111217 has 2 divisors, whose sum is σ = 211101111218. Its totient is φ = 211101111216.

The previous prime is 211101111161. The next prime is 211101111223. The reversal of 211101111217 is 712111101112.

211101111217 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., 184123377216 + 26977734001 = 429096^2 + 164249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211101111217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211101111194 and 211101111203.

It is not a weakly prime, because it can be changed into another prime (211101111817) 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, 105550555608 + 105550555609.

It is an arithmetic number, because the mean of its divisors is an integer number (105550555609).

Almost surely, 2^211101111217 is an apocalyptic number.

It is an amenable number.

211101111217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101111217 is an equidigital number, since it uses as much as digits as its factorization.

211101111217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 211101111217 its reverse (712111101112), we get a palindrome (923212212329).

The spelling of 211101111217 in words is "two hundred eleven billion, one hundred one million, one hundred eleven thousand, two hundred seventeen".