2110111117 has 2 divisors, whose sum is σ = 2110111118. Its totient is φ = 2110111116.

The previous prime is 2110111061. The next prime is 2110111123. The reversal of 2110111117 is 7111110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1136296681 + 973814436 = 33709^2 + 31206^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110111117 - 2¹⁵ = 2110078349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2110111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110111217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055055558 + 1055055559.

It is an arithmetic number, because the mean of its divisors is an integer number (1055055559).

Almost surely, 2^2110111117 is an apocalyptic number.

It is an amenable number.

2110111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110111117 is an equidigital number, since it uses as much as digits as its factorization.

2110111117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 16.

The square root of 2110111117 is about 45935.9458050011. The cubic root of 2110111117 is about 1282.6311269372.

Adding to 2110111117 its reverse (7111110112), we get a palindrome (9221221229).

The spelling of 2110111117 in words is "two billion, one hundred ten million, one hundred eleven thousand, one hundred seventeen".