2211122100200 has 192 divisors, whose sum is σ = 5581255745520. Its totient is φ = 809809920000.

The previous prime is 2211122100167. The next prime is 2211122100203. The reversal of 2211122100200 is 20012211122.

It can be written as a sum of positive squares in 24 ways, for example, as 905911818436 + 1305210281764 = 951794^2 + 1142458^2 .

It is not an unprimeable number, because it can be changed into a prime (2211122100203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 188704742 + ... + 188716458.

Almost surely, 2^{2211122100200} is an apocalyptic number.

2211122100200 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 2211122100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790627872760).

2211122100200 is an abundant number, since it is smaller than the sum of its proper divisors (3370133645320).

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

2211122100200 is a wasteful number, since it uses less digits than its factorization.

2211122100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2211122100200 its reverse (20012211122), we get a palindrome (2231134311322).

The spelling of 2211122100200 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, two hundred".