2100100 has 18 divisors (see below), whose sum is σ = 4557434. Its totient is φ = 840000.

The previous prime is 2100097. The next prime is 2100113. The reversal of 2100100 is 10012.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 2079364 = 144^2 + 1442^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 2100100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10401 + ... + 10600.

2^2100100 is an apocalyptic number.

2100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100100 is an abundant number, since it is smaller than the sum of its proper divisors (2457334).

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

2100100 is a wasteful number, since it uses less digits than its factorization.

2100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21015 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2100100 is about 1449.1721774862. The cubic root of 2100100 is about 128.0599491318.

Adding to 2100100 its reverse (10012), we get a palindrome (2110112).

The spelling of 2100100 in words is "two million, one hundred thousand, one hundred".