20002100 has 36 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 7937760.

The previous prime is 20002097. The next prime is 20002123. The reversal of 20002100 is 120002.

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 11 ways as a sum of consecutive naturals, for example, 13181 + ... + 14619.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^20002100 is an apocalyptic number.

20002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

20002100 is an abundant number, since it is smaller than the sum of its proper divisors (23745100).

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

20002100 is a wasteful number, since it uses less digits than its factorization.

20002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1585 counting only the distinct ones).

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

The square root of 20002100 is about 4472.3707359744. The cubic root of 20002100 is about 271.4512617887.

Adding to 20002100 its reverse (120002), we get a palindrome (20122102).

It can be divided in two parts, 20002 and 100, that added together give a palindrome (20102).

The spelling of 20002100 in words is "twenty million, two thousand, one hundred".