2122202002200 has 192 divisors, whose sum is σ = 7535410560000. Its totient is φ = 483993968640.

The previous prime is 2122202002171. The next prime is 2122202002211. The reversal of 2122202002200 is 22002022212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122202002200.

It is a congruent number.

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, 1323121 + ... + 2448479.

It is an arithmetic number, because the mean of its divisors is an integer number (39246930000).

Almost surely, 2^{2122202002200} is an apocalyptic number.

2122202002200 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 2122202002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767705280000).

2122202002200 is an abundant number, since it is smaller than the sum of its proper divisors (5413208557800).

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

2122202002200 is a wasteful number, since it uses less digits than its factorization.

2122202002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125834 (or 1125825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2122202002200 its reverse (22002022212), we get a palindrome (2144204024412).

The spelling of 2122202002200 in words is "two trillion, one hundred twenty-two billion, two hundred two million, two thousand, two hundred".