2100112100 has 18 divisors (see below), whose sum is σ = 4557243474. Its totient is φ = 840044800.

The previous prime is 2100112099. The next prime is 2100112117. The reversal of 2100112100 is 12110012.

It can be written as a sum of positive squares in 3 ways, for example, as 235254244 + 1864857856 = 15338^2 + 43184^2 .

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, 10500461 + ... + 10500660.

It is an arithmetic number, because the mean of its divisors is an integer number (253180193).

Almost surely, 2^2100112100 is an apocalyptic number.

2100112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100112100 is an abundant number, since it is smaller than the sum of its proper divisors (2457131374).

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

2100112100 is a wasteful number, since it uses less digits than its factorization.

2100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21001135 (or 21001128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2100112100 is about 45826.9800445109. The cubic root of 2100112100 is about 1280.6019507605.

Adding to 2100112100 its reverse (12110012), we get a palindrome (2112222112).

The spelling of 2100112100 in words is "two billion, one hundred million, one hundred twelve thousand, one hundred".