2000202000200 has 192 divisors, whose sum is σ = 4796084794320. Its totient is φ = 775526400000.

The previous prime is 2000202000197. The next prime is 2000202000217. The reversal of 2000202000200 is 20002020002.

It can be written as a sum of positive squares in 24 ways, for example, as 495590656324 + 1504611343876 = 703982^2 + 1226626^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202015250 + ... + 202025150.

Almost surely, 2^{2000202000200} is an apocalyptic number.

2000202000200 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 2000202000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398042397160).

2000202000200 is an abundant number, since it is smaller than the sum of its proper divisors (2795882794120).

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

2000202000200 is a wasteful number, since it uses less digits than its factorization.

2000202000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 2000202000200 its reverse (20002020002), we get a palindrome (2020204020202).

2000202000200 divided by its reverse (20002020002) gives a square (100 = 10²).

The spelling of 2000202000200 in words is "two trillion, two hundred two million, two hundred", and thus it is an aban number.