211001110121117 has 2 divisors, whose sum is σ = 211001110121118. Its totient is φ = 211001110121116.

The previous prime is 211001110121093. The next prime is 211001110121119. The reversal of 211001110121117 is 711121011100112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210519815508601 + 481294612516 = 14509301^2 + 693754^2 .

It is a cyclic number.

It is not a de Polignac number, because 211001110121117 - 2²⁰ = 211001109072541 is a prime.

Together with 211001110121119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211001110121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500555060558 + 105500555060559.

It is an arithmetic number, because the mean of its divisors is an integer number (105500555060559).

Almost surely, 2^{211001110121117} is an apocalyptic number.

It is an amenable number.

211001110121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001110121117 is an equidigital number, since it uses as much as digits as its factorization.

211001110121117 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 20.

Adding to 211001110121117 its reverse (711121011100112), we get a palindrome (922122121221229).

The spelling of 211001110121117 in words is "two hundred eleven trillion, one billion, one hundred ten million, one hundred twenty-one thousand, one hundred seventeen".