200200222101000 has 256 divisors, whose sum is σ = 721491625969920. Its totient is φ = 45678481920000.

The previous prime is 200200222100999. The next prime is 200200222101007. The reversal of 200200222101000 is 101222002002.

200200222101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200200222101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177870571 + ... + 178992570.

It is an arithmetic number, because the mean of its divisors is an integer number (2818326663945).

Almost surely, 2^{200200222101000} is an apocalyptic number.

200200222101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200222101000 is an abundant number, since it is smaller than the sum of its proper divisors (521291403868920).

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

200200222101000 is a wasteful number, since it uses less digits than its factorization.

200200222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356863193 (or 356863179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200200222101000 its reverse (101222002002), we get a palindrome (200301444103002).

The spelling of 200200222101000 in words is "two hundred trillion, two hundred billion, two hundred twenty-two million, one hundred one thousand".