200200221010020 has 384 divisors, whose sum is σ = 701875830620160. Its totient is φ = 41422150471680.

The previous prime is 200200221009977. The next prime is 200200221010039. The reversal of 200200221010020 is 20010122002002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200200221009978 and 200200221010005.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1011232882 + ... + 1011430838.

It is an arithmetic number, because the mean of its divisors is an integer number (1827801642240).

Almost surely, 2^{200200221010020} is an apocalyptic number.

200200221010020 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 200200221010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350937915310080).

200200221010020 is an abundant number, since it is smaller than the sum of its proper divisors (501675609610140).

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

200200221010020 is a wasteful number, since it uses less digits than its factorization.

200200221010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198923 (or 198921 counting only the distinct ones).

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

Adding to 200200221010020 its reverse (20010122002002), we get a palindrome (220210343012022).

The spelling of 200200221010020 in words is "two hundred trillion, two hundred billion, two hundred twenty-one million, ten thousand, twenty".