201005201 has 8 divisors (see below), whose sum is σ = 207183144. Its totient is φ = 194866560.

The previous prime is 201005183. The next prime is 201005219. The reversal of 201005201 is 102500102.

It is an interprime number because it is at equal distance from previous prime (201005183) and next prime (201005219).

It can be written as a sum of positive squares in 4 ways, for example, as 138674176 + 62331025 = 11776^2 + 7895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201005201 - 2⁶ = 201005137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201005261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 20063.

It is an arithmetic number, because the mean of its divisors is an integer number (25897893).

Almost surely, 2^201005201 is an apocalyptic number.

It is an amenable number.

201005201 is a deficient number, since it is larger than the sum of its proper divisors (6177943).

201005201 is a wasteful number, since it uses less digits than its factorization.

201005201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19651.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 201005201 is about 14177.6303026987. The cubic root of 201005201 is about 585.7816526661.

Adding to 201005201 its reverse (102500102), we get a palindrome (303505303).

The spelling of 201005201 in words is "two hundred one million, five thousand, two hundred one".