2102200100 has 144 divisors (see below), whose sum is σ = 6125191296. Its totient is φ = 604800000.

The previous prime is 2102200081. The next prime is 2102200141. The reversal of 2102200100 is 10022012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89600 + ... + 110600.

Almost surely, 2^2102200100 is an apocalyptic number.

2102200100 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 2102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062595648).

2102200100 is an abundant number, since it is smaller than the sum of its proper divisors (4022991196).

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

2102200100 is a wasteful number, since it uses less digits than its factorization.

2102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21046 (or 21039 counting only the distinct ones).

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

The square root of 2102200100 is about 45849.7557245401. The cubic root of 2102200100 is about 1281.0262156055.

Adding to 2102200100 its reverse (10022012), we get a palindrome (2112222112).

It can be divided in two parts, 2102 and 200100, that added together give a palindrome (202202).

The spelling of 2102200100 in words is "two billion, one hundred two million, two hundred thousand, one hundred".