2102122200 has 96 divisors (see below), whose sum is σ = 6533577360. Its totient is φ = 559104000.

The previous prime is 2102122147. The next prime is 2102122229. The reversal of 2102122200 is 22212012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236232 + ... + 244968.

Almost surely, 2^2102122200 is an apocalyptic number.

2102122200 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 2102122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266788680).

2102122200 is an abundant number, since it is smaller than the sum of its proper divisors (4431455160).

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

2102122200 is a wasteful number, since it uses less digits than its factorization.

2102122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9157 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102122200 is about 45848.9062028747. The cubic root of 2102122200 is about 1281.0103919969.

Adding to 2102122200 its reverse (22212012), we get a palindrome (2124334212).

The spelling of 2102122200 in words is "two billion, one hundred two million, one hundred twenty-two thousand, two hundred".