2111102117 has 2 divisors, whose sum is σ = 2111102118. Its totient is φ = 2111102116.

The previous prime is 2111102087. The next prime is 2111102131. The reversal of 2111102117 is 7112011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1780080481 + 331021636 = 42191^2 + 18194^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111102117 - 2¹⁶ = 2111036581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111102095 and 2111102104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111102137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055551058 + 1055551059.

It is an arithmetic number, because the mean of its divisors is an integer number (1055551059).

Almost surely, 2^2111102117 is an apocalyptic number.

It is an amenable number.

2111102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111102117 is an equidigital number, since it uses as much as digits as its factorization.

2111102117 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 17.

The square root of 2111102117 is about 45946.7312983198. The cubic root of 2111102117 is about 1282.8318886416.

Adding to 2111102117 its reverse (7112011112), we get a palindrome (9223113229).

The spelling of 2111102117 in words is "two billion, one hundred eleven million, one hundred two thousand, one hundred seventeen".