200022100020 has 288 divisors, whose sum is σ = 623752889760. Its totient is φ = 51867648000.

The previous prime is 200022100009. The next prime is 200022100039. The reversal of 200022100020 is 20001220002.

It can be written as a sum of positive squares in 16 ways, for example, as 104285076624 + 95737023396 = 322932^2 + 309414^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200022099975 and 200022100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711822280 + ... + 711822560.

It is an arithmetic number, because the mean of its divisors is an integer number (2165808645).

Almost surely, 2^200022100020 is an apocalyptic number.

200022100020 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 200022100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311876444880).

200022100020 is an abundant number, since it is smaller than the sum of its proper divisors (423730789740).

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

200022100020 is a wasteful number, since it uses less digits than its factorization.

200022100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

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

Adding to 200022100020 its reverse (20001220002), we get a palindrome (220023320022).

The spelling of 200022100020 in words is "two hundred billion, twenty-two million, one hundred thousand, twenty".