200120210020 has 192 divisors, whose sum is σ = 458120940480. Its totient is φ = 73157050368.

The previous prime is 200120210011. The next prime is 200120210033. The reversal of 200120210020 is 20012021002.

It can be written as a sum of positive squares in 32 ways, for example, as 325513764 + 199794696256 = 18042^2 + 446984^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200120209979 and 200120210006.

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, 778677732 + ... + 778677988.

It is an arithmetic number, because the mean of its divisors is an integer number (2386046565).

Almost surely, 2^200120210020 is an apocalyptic number.

200120210020 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 200120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229060470240).

200120210020 is an abundant number, since it is smaller than the sum of its proper divisors (258000730460).

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

200120210020 is a wasteful number, since it uses less digits than its factorization.

200120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

200120210020 divided by its sum of digits (10) gives a palindrome (20012021002).

Adding to 200120210020 its reverse (20012021002), we get a palindrome (220132231022).

The spelling of 200120210020 in words is "two hundred billion, one hundred twenty million, two hundred ten thousand, twenty".