2110001110117 has 2 divisors, whose sum is σ = 2110001110118. Its totient is φ = 2110001110116.

The previous prime is 2110001110099. The next prime is 2110001110141. The reversal of 2110001110117 is 7110111000112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1163984212161 + 946016897956 = 1078881^2 + 972634^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110001110117 - 2⁷ = 2110001109989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2110001110117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110001110177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055000555058 + 1055000555059.

It is an arithmetic number, because the mean of its divisors is an integer number (1055000555059).

Almost surely, 2^{2110001110117} is an apocalyptic number.

It is an amenable number.

2110001110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110001110117 is an equidigital number, since it uses as much as digits as its factorization.

2110001110117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2110001110117 its reverse (7110111000112), we get a palindrome (9220112110229).

The spelling of 2110001110117 in words is "two trillion, one hundred ten billion, one million, one hundred ten thousand, one hundred seventeen".