2010022000200 has 288 divisors, whose sum is σ = 6880824498600. Its totient is φ = 525652807680.

The previous prime is 2010022000193. The next prime is 2010022000201. The reversal of 2010022000200 is 20002200102.

It can be written as a sum of positive squares in 12 ways, for example, as 1024342361604 + 985679638596 = 1012098^2 + 992814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2010022000201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323307492 + ... + 323313708.

Almost surely, 2^{2010022000200} is an apocalyptic number.

2010022000200 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 2010022000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440412249300).

2010022000200 is an abundant number, since it is smaller than the sum of its proper divisors (4870802498400).

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

2010022000200 is a wasteful number, since it uses less digits than its factorization.

2010022000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681 (or 9669 counting only the distinct ones).

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

Adding to 2010022000200 its reverse (20002200102), we get a palindrome (2030024200302).

The spelling of 2010022000200 in words is "two trillion, ten billion, twenty-two million, two hundred", and thus it is an aban number.