2117105011 has 8 divisors (see below), whose sum is σ = 2420483840. Its totient is φ = 1813960008.

The previous prime is 2117104999. The next prime is 2117105021. The reversal of 2117105011 is 1105017112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2117105011 - 2⁷ = 2117104883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2117105011.

It is not an unprimeable number, because it can be changed into a prime (2117105021) 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, 38601 + ... + 75658.

It is an arithmetic number, because the mean of its divisors is an integer number (302560480).

Almost surely, 2^2117105011 is an apocalyptic number.

2117105011 is a deficient number, since it is larger than the sum of its proper divisors (303378829).

2117105011 is a wasteful number, since it uses less digits than its factorization.

2117105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116913.

The product of its (nonzero) digits is 70, while the sum is 19.

The square root of 2117105011 is about 46012.0094214543. The cubic root of 2117105011 is about 1284.0466437752.

The spelling of 2117105011 in words is "two billion, one hundred seventeen million, one hundred five thousand, eleven".