200221000200000 has 840 divisors, whose sum is σ = 798915932842104. Its totient is φ = 49285117440000.

The previous prime is 200221000199999. The next prime is 200221000200061. The reversal of 200221000200000 is 2000122002.

It can be written as a sum of positive squares in 12 ways, for example, as 178648245156096 + 21572755043904 = 13365936^2 + 4644648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210124642 + ... + 211075358.

Almost surely, 2^{200221000200000} is an apocalyptic number.

200221000200000 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 200221000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399457966421052).

200221000200000 is an abundant number, since it is smaller than the sum of its proper divisors (598694932642104).

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

200221000200000 is an frugal number, since it uses more digits than its factorization.

200221000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950779 (or 950740 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200221000200000 its reverse (2000122002), we get a palindrome (200223000322002).

The spelling of 200221000200000 in words is "two hundred trillion, two hundred twenty-one billion, two hundred thousand".