200102221012000 has 384 divisors, whose sum is σ = 509707692748800. Its totient is φ = 77155746304000.

The previous prime is 200102221011839. The next prime is 200102221012013. The reversal of 200102221012000 is 210122201002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29781544641 + ... + 29781551359.

It is an arithmetic number, because the mean of its divisors is an integer number (1327363783200).

Almost surely, 2^{200102221012000} is an apocalyptic number.

200102221012000 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 200102221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254853846374400).

200102221012000 is an abundant number, since it is smaller than the sum of its proper divisors (309605471736800).

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

200102221012000 is a wasteful number, since it uses less digits than its factorization.

200102221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200102221012000 its reverse (210122201002), we get a palindrome (200312343213002).

The spelling of 200102221012000 in words is "two hundred trillion, one hundred two billion, two hundred twenty-one million, twelve thousand".