2000220221000 has 128 divisors (see below), whose sum is σ = 5023731080160. Its totient is φ = 742708224000.

The previous prime is 2000220220909. The next prime is 2000220221003. The reversal of 2000220221000 is 1220220002.

It can be written as a sum of positive squares in 16 ways, for example, as 159851234596 + 1840368986404 = 399814^2 + 1356602^2 .

It is not an unprimeable number, because it can be changed into a prime (2000220221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435110 + ... + 2046890.

Almost surely, 2^{2000220221000} is an apocalyptic number.

2000220221000 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 2000220221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511865540080).

2000220221000 is an abundant number, since it is smaller than the sum of its proper divisors (3023510859160).

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

2000220221000 is a wasteful number, since it uses less digits than its factorization.

2000220221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611892 (or 1611878 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2000220221000 its reverse (1220220002), we get a palindrome (2001440441002).

The spelling of 2000220221000 in words is "two trillion, two hundred twenty million, two hundred twenty-one thousand".