200222200010000 has 200 divisors, whose sum is σ = 554221957703040. Its totient is φ = 68621236992000.

The previous prime is 200222200009969. The next prime is 200222200010003. The reversal of 200222200010000 is 10002222002.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (200222200010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182081837 + ... + 183178163.

Almost surely, 2^{200222200010000} is an apocalyptic number.

200222200010000 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 200222200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277110978851520).

200222200010000 is an abundant number, since it is smaller than the sum of its proper divisors (353999757693040).

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

200222200010000 is a wasteful number, since it uses less digits than its factorization.

200222200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098971 (or 1098950 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200222200010000 its reverse (10002222002), we get a palindrome (200232202232002).

The spelling of 200222200010000 in words is "two hundred trillion, two hundred twenty-two billion, two hundred million, ten thousand".