2122211022200 has 96 divisors (see below), whose sum is σ = 5037244783200. Its totient is φ = 831209832960.

The previous prime is 2122211022193. The next prime is 2122211022233. The reversal of 2122211022200 is 22201122212.

It is a happy number.

It is a congruent 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, 5132786 + ... + 5530814.

It is an arithmetic number, because the mean of its divisors is an integer number (52471299825).

Almost surely, 2^{2122211022200} is an apocalyptic number.

2122211022200 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 2122211022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518622391600).

2122211022200 is an abundant number, since it is smaller than the sum of its proper divisors (2915033761000).

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

2122211022200 is a wasteful number, since it uses less digits than its factorization.

2122211022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398601 (or 398592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122211022200 its reverse (22201122212), we get a palindrome (2144412144412).

The spelling of 2122211022200 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred".