2000100220200 has 288 divisors, whose sum is σ = 6993648862200. Its totient is φ = 511819776000.

The previous prime is 2000100220147. The next prime is 2000100220201. The reversal of 2000100220200 is 20220010002.

It can be written as a sum of positive squares in 12 ways, for example, as 668610394596 + 1331489825604 = 817686^2 + 1153902^2 .

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 (2000100220201) 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, 4279656 + ... + 4723944.

Almost surely, 2^{2000100220200} is an apocalyptic number.

2000100220200 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 2000100220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496824431100).

2000100220200 is an abundant number, since it is smaller than the sum of its proper divisors (4993548642000).

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

2000100220200 is a wasteful number, since it uses less digits than its factorization.

2000100220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444413 (or 444401 counting only the distinct ones).

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

Adding to 2000100220200 its reverse (20220010002), we get a palindrome (2020320230202).

The spelling of 2000100220200 in words is "two trillion, one hundred million, two hundred twenty thousand, two hundred".