2112122202200 has 96 divisors (see below), whose sum is σ = 4930711014000. Its totient is φ = 841409856000.

The previous prime is 2112122202181. The next prime is 2112122202217. The reversal of 2112122202200 is 22022212112.

It is a happy number.

It is a super-2 number, since 2×2112122202200² (a number of 25 digits) contains 22 as substring.

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, 53722550 + ... + 53761850.

Almost surely, 2^{2112122202200} is an apocalyptic number.

2112122202200 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 2112122202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465355507000).

2112122202200 is an abundant number, since it is smaller than the sum of its proper divisors (2818588811800).

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

2112122202200 is a wasteful number, since it uses less digits than its factorization.

2112122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40405 (or 40396 counting only the distinct ones).

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

Adding to 2112122202200 its reverse (22022212112), we get a palindrome (2134144414312).

The spelling of 2112122202200 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred two thousand, two hundred".