200221201121000 has 512 divisors, whose sum is σ = 516341168179200. Its totient is φ = 72331571200000.

The previous prime is 200221201120961. The next prime is 200221201121033. The reversal of 200221201121000 is 121102122002.

200221201121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85164269825 + ... + 85164272175.

It is an arithmetic number, because the mean of its divisors is an integer number (1008478844100).

Almost surely, 2^{200221201121000} is an apocalyptic number.

200221201121000 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 200221201121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258170584089600).

200221201121000 is an abundant number, since it is smaller than the sum of its proper divisors (316119967058200).

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

200221201121000 is a wasteful number, since it uses less digits than its factorization.

200221201121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200221201121000 its reverse (121102122002), we get a palindrome (200342303243002).

The spelling of 200221201121000 in words is "two hundred trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand".