22022201100200 has 768 divisors, whose sum is σ = 63314804736000. Its totient is φ = 6957232128000.

The previous prime is 22022201100167. The next prime is 22022201100259. The reversal of 22022201100200 is 200110222022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51095593985 + ... + 51095594415.

It is an arithmetic number, because the mean of its divisors is an integer number (82441152000).

Almost surely, 2^{22022201100200} is an apocalyptic number.

22022201100200 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 22022201100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657402368000).

22022201100200 is an abundant number, since it is smaller than the sum of its proper divisors (41292603635800).

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

22022201100200 is a wasteful number, since it uses less digits than its factorization.

22022201100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022201100200 its reverse (200110222022), we get a palindrome (22222311322222).

The spelling of 22022201100200 in words is "twenty-two trillion, twenty-two billion, two hundred one million, one hundred thousand, two hundred".