2117117105206 has 16 divisors (see below), whose sum is σ = 3284714972448. Its totient is φ = 1022713444800.

The previous prime is 2117117105203. The next prime is 2117117105209. The reversal of 2117117105206 is 6025017117112.

It is an interprime number because it is at equal distance from previous prime (2117117105203) and next prime (2117117105209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117117105203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125324085 + ... + 125340976.

It is an arithmetic number, because the mean of its divisors is an integer number (205294685778).

Almost surely, 2^{2117117105206} is an apocalyptic number.

2117117105206 is a deficient number, since it is larger than the sum of its proper divisors (1167597867242).

2117117105206 is a wasteful number, since it uses less digits than its factorization.

2117117105206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250665207.

The product of its (nonzero) digits is 5880, while the sum is 34.

The spelling of 2117117105206 in words is "two trillion, one hundred seventeen billion, one hundred seventeen million, one hundred five thousand, two hundred six".