22110222110200 has 384 divisors, whose sum is σ = 62895777091200. Its totient is φ = 7055769600000.

The previous prime is 22110222110173. The next prime is 22110222110213. The reversal of 22110222110200 is 201122201122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2233125250 + ... + 2233135150.

It is an arithmetic number, because the mean of its divisors is an integer number (163791086175).

Almost surely, 2^{22110222110200} is an apocalyptic number.

22110222110200 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 22110222110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31447888545600).

22110222110200 is an abundant number, since it is smaller than the sum of its proper divisors (40785554981000).

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

22110222110200 is a wasteful number, since it uses less digits than its factorization.

22110222110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22110222110200 its reverse (201122201122), we get a palindrome (22311344311322).

It can be divided in two parts, 221102 and 22110200, that multiplied together give a square (4888609440400 = 2211020²).

The spelling of 22110222110200 in words is "twenty-two trillion, one hundred ten billion, two hundred twenty-two million, one hundred ten thousand, two hundred".