2116672100 has 18 divisors (see below), whose sum is σ = 4593178674. Its totient is φ = 846668800.

The previous prime is 2116672081. The next prime is 2116672111. The reversal of 2116672100 is 12766112.

It can be written as a sum of positive squares in 3 ways, for example, as 75620416 + 2041051684 = 8696^2 + 45178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2116672100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10583261 + ... + 10583460.

It is an arithmetic number, because the mean of its divisors is an integer number (255176593).

Almost surely, 2^2116672100 is an apocalyptic number.

2116672100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116672100 is an abundant number, since it is smaller than the sum of its proper divisors (2476506574).

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

2116672100 is a wasteful number, since it uses less digits than its factorization.

2116672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21166735 (or 21166728 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 2116672100 is about 46007.3048547728. The cubic root of 2116672100 is about 1283.9591161046.

The spelling of 2116672100 in words is "two billion, one hundred sixteen million, six hundred seventy-two thousand, one hundred".