2117105206700 has 72 divisors (see below), whose sum is σ = 5012081550000. Its totient is φ = 769807878400.

The previous prime is 2117105206687. The next prime is 2117105206747. The reversal of 2117105206700 is 76025017112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20572574 + ... + 20675226.

It is an arithmetic number, because the mean of its divisors is an integer number (69612243750).

Almost surely, 2^{2117105206700} is an apocalyptic number.

2117105206700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117105206700 is an abundant number, since it is smaller than the sum of its proper divisors (2894976343300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117105206700 is a wasteful number, since it uses less digits than its factorization.

2117105206700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121427 (or 121420 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 2117105206700 in words is "two trillion, one hundred seventeen billion, one hundred five million, two hundred six thousand, seven hundred".