211210211012117 has 2 divisors, whose sum is σ = 211210211012118. Its totient is φ = 211210211012116.

The previous prime is 211210211012107. The next prime is 211210211012159. The reversal of 211210211012117 is 711210112012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209817513636241 + 1392697375876 = 14485079^2 + 1180126^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210211012117 - 2¹⁸ = 211210210749973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211210211012092 and 211210211012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211210211012107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605105506058 + 105605105506059.

It is an arithmetic number, because the mean of its divisors is an integer number (105605105506059).

Almost surely, 2^{211210211012117} is an apocalyptic number.

It is an amenable number.

211210211012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210211012117 is an equidigital number, since it uses as much as digits as its factorization.

211210211012117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 23.

Adding to 211210211012117 its reverse (711210112012112), we get a palindrome (922420323024229).

The spelling of 211210211012117 in words is "two hundred eleven trillion, two hundred ten billion, two hundred eleven million, twelve thousand, one hundred seventeen".