2002100 has 18 divisors (see below), whose sum is σ = 4344774. Its totient is φ = 800800.

The previous prime is 2002093. The next prime is 2002151. The reversal of 2002100 is 12002.

It can be written as a sum of positive squares in 3 ways, for example, as 2704 + 1999396 = 52^2 + 1414^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9911 + ... + 10110.

2^2002100 is an apocalyptic number.

2002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100 is an abundant number, since it is smaller than the sum of its proper divisors (2342674).

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

2002100 is a wasteful number, since it uses less digits than its factorization.

2002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20035 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2002100 is about 1414.9558296993. The cubic root of 2002100 is about 126.0361868012.

Adding to 2002100 its reverse (12002), we get a palindrome (2014102).

The spelling of 2002100 in words is "two million, two thousand, one hundred".