2100116775 has 72 divisors (see below), whose sum is σ = 3717150976. Its totient is φ = 1045598400.

The previous prime is 2100116747. The next prime is 2100116783. The reversal of 2100116775 is 5776110012.

It is not a de Polignac number, because 2100116775 - 2¹⁷ = 2099985703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1705410 + ... + 1706640.

Almost surely, 2^2100116775 is an apocalyptic number.

2100116775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2100116775 is a deficient number, since it is larger than the sum of its proper divisors (1617034201).

2100116775 is a wasteful number, since it uses less digits than its factorization.

2100116775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 2100116775 is about 45827.0310515530. The cubic root of 2100116775 is about 1280.6029009971.

Adding to 2100116775 its reverse (5776110012), we get a palindrome (7876226787).

The spelling of 2100116775 in words is "two billion, one hundred million, one hundred sixteen thousand, seven hundred seventy-five".