211112117 has 2 divisors, whose sum is σ = 211112118. Its totient is φ = 211112116.

The previous prime is 211112113. The next prime is 211112129. The reversal of 211112117 is 711211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209496676 + 1615441 = 14474^2 + 1271^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112117 - 2² = 211112113 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112095 and 211112104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556058 + 105556059.

It is an arithmetic number, because the mean of its divisors is an integer number (105556059).

Almost surely, 2^211112117 is an apocalyptic number.

It is an amenable number.

211112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112117 is an equidigital number, since it uses as much as digits as its factorization.

211112117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28, while the sum is 17.

The square root of 211112117 is about 14529.6977601050. The cubic root of 211112117 is about 595.4396082707.

Adding to 211112117 its reverse (711211112), we get a palindrome (922323229).

The spelling of 211112117 in words is "two hundred eleven million, one hundred twelve thousand, one hundred seventeen".