2210011112117 has 2 divisors, whose sum is σ = 2210011112118. Its totient is φ = 2210011112116.

The previous prime is 2210011112087. The next prime is 2210011112167. The reversal of 2210011112117 is 7112111100122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1757040385156 + 452970726961 = 1325534^2 + 673031^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210011112117 - 2³⁴ = 2192831242933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210011112167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105005556058 + 1105005556059.

It is an arithmetic number, because the mean of its divisors is an integer number (1105005556059).

Almost surely, 2^{2210011112117} is an apocalyptic number.

It is an amenable number.

2210011112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210011112117 is an equidigital number, since it uses as much as digits as its factorization.

2210011112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 2210011112117 its reverse (7112111100122), we get a palindrome (9322122212239).

The spelling of 2210011112117 in words is "two trillion, two hundred ten billion, eleven million, one hundred twelve thousand, one hundred seventeen".