201101200 has 60 divisors (see below), whose sum is σ = 485312688. Its totient is φ = 80080000.

The previous prime is 201101191. The next prime is 201101207. The reversal of 201101200 is 2101102.

It is not an unprimeable number, because it can be changed into a prime (201101207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99399 + ... + 101401.

Almost surely, 2^201101200 is an apocalyptic number.

201101200 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 201101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242656344).

201101200 is an abundant number, since it is smaller than the sum of its proper divisors (284211488).

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

201101200 is a wasteful number, since it uses less digits than its factorization.

201101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 201101200 is about 14181.0154784486. The cubic root of 201101200 is about 585.8748932100.

Adding to 201101200 its reverse (2101102), we get a palindrome (203202302).

The spelling of 201101200 in words is "two hundred one million, one hundred one thousand, two hundred".