200011221000 has 256 divisors, whose sum is σ = 694291852800. Its totient is φ = 53265600000.

The previous prime is 200011220993. The next prime is 200011221013. The reversal of 200011221000 is 122110002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22216500 + ... + 22225500.

It is an arithmetic number, because the mean of its divisors is an integer number (2712077550).

Almost surely, 2^200011221000 is an apocalyptic number.

200011221000 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 200011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347145926400).

200011221000 is an abundant number, since it is smaller than the sum of its proper divisors (494280631800).

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

200011221000 is a wasteful number, since it uses less digits than its factorization.

200011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200011221000 its reverse (122110002), we get a palindrome (200133331002).

The spelling of 200011221000 in words is "two hundred billion, eleven million, two hundred twenty-one thousand".