211131101117 has 2 divisors, whose sum is σ = 211131101118. Its totient is φ = 211131101116.

The previous prime is 211131101087. The next prime is 211131101143. The reversal of 211131101117 is 711101131112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107224157401 + 103906943716 = 327451^2 + 322346^2 .

It is a cyclic number.

It is not a de Polignac number, because 211131101117 - 2²⁶ = 211063992253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211131101147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105565550558 + 105565550559.

It is an arithmetic number, because the mean of its divisors is an integer number (105565550559).

Almost surely, 2^211131101117 is an apocalyptic number.

It is an amenable number.

211131101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131101117 is an equidigital number, since it uses as much as digits as its factorization.

211131101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 211131101117 its reverse (711101131112), we get a palindrome (922232232229).

The spelling of 211131101117 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred one thousand, one hundred seventeen".