2121200200 has 144 divisors (see below), whose sum is σ = 5765791680. Its totient is φ = 723623040.

The previous prime is 2121200183. The next prime is 2121200209. The reversal of 2121200200 is 20021212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2121200209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2576989 + ... + 2577811.

It is an arithmetic number, because the mean of its divisors is an integer number (40040220).

Almost surely, 2^2121200200 is an apocalyptic number.

2121200200 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 2121200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882895840).

2121200200 is an abundant number, since it is smaller than the sum of its proper divisors (3644591480).

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

2121200200 is a wasteful number, since it uses less digits than its factorization.

2121200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2121200200 is about 46056.4892279036. The cubic root of 2121200200 is about 1284.8740357078.

Adding to 2121200200 its reverse (20021212), we get a palindrome (2141221412).

The spelling of 2121200200 in words is "two billion, one hundred twenty-one million, two hundred thousand, two hundred".