201040000200 has 576 divisors, whose sum is σ = 757049202000. Its totient is φ = 47753072640.

The previous prime is 201040000193. The next prime is 201040000201. The reversal of 201040000200 is 2000040102.

It can be written as a sum of positive squares in 24 ways, for example, as 196289758116 + 4750242084 = 443046^2 + 68922^2 .

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 (201040000201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114682524 + ... + 114684276.

Almost surely, 2^201040000200 is an apocalyptic number.

201040000200 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 201040000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378524601000).

201040000200 is an abundant number, since it is smaller than the sum of its proper divisors (556009201800).

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

201040000200 is a wasteful number, since it uses less digits than its factorization.

201040000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1805 counting only the distinct ones).

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

Adding to 201040000200 its reverse (2000040102), we get a palindrome (203040040302).

The spelling of 201040000200 in words is "two hundred one billion, forty million, two hundred", and thus it is an aban number.