201005200 has 90 divisors (see below), whose sum is σ = 530935202. Its totient is φ = 73075200.

The previous prime is 201005183. The next prime is 201005219. The reversal of 201005200 is 2500102.

201005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1517824 + 199487376 = 1232^2 + 14124^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46324 + ... + 50476.

Almost surely, 2^201005200 is an apocalyptic number.

201005200 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 201005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265467601).

201005200 is an abundant number, since it is smaller than the sum of its proper divisors (329930002).

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

201005200 is a wasteful number, since it uses less digits than its factorization.

201005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 201005200 is about 14177.6302674319. The cubic root of 201005200 is about 585.7816516947.

Adding to 201005200 its reverse (2500102), we get a palindrome (203505302).

The spelling of 201005200 in words is "two hundred one million, five thousand, two hundred".