2123200100 has 72 divisors (see below), whose sum is σ = 5314034880. Its totient is φ = 721249920.

The previous prime is 2123200073. The next prime is 2123200133. The reversal of 2123200100 is 10023212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62387 + ... + 90213.

It is an arithmetic number, because the mean of its divisors is an integer number (73806040).

Almost surely, 2^2123200100 is an apocalyptic number.

2123200100 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 2123200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657017440).

2123200100 is an abundant number, since it is smaller than the sum of its proper divisors (3190834780).

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

2123200100 is a wasteful number, since it uses less digits than its factorization.

2123200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27957 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2123200100 is about 46078.1954941814. The cubic root of 2123200100 is about 1285.2777085039.

Adding to 2123200100 its reverse (10023212), we get a palindrome (2133223312).

The spelling of 2123200100 in words is "two billion, one hundred twenty-three million, two hundred thousand, one hundred".