2004120201 has 32 divisors (see below), whose sum is σ = 2772443520. Its totient is φ = 1287143424.

The previous prime is 2004120199. The next prime is 2004120211. The reversal of 2004120201 is 1020214002.

It is not a de Polignac number, because 2004120201 - 2¹ = 2004120199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2004120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1939581 + ... + 1940613.

It is an arithmetic number, because the mean of its divisors is an integer number (86638860).

Almost surely, 2^2004120201 is an apocalyptic number.

It is an amenable number.

2004120201 is a deficient number, since it is larger than the sum of its proper divisors (768323319).

2004120201 is a wasteful number, since it uses less digits than its factorization.

2004120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2004120201 is about 44767.4010972270. The cubic root of 2004120201 is about 1260.7856444441.

Adding to 2004120201 its reverse (1020214002), we get a palindrome (3024334203).

The spelling of 2004120201 in words is "two billion, four million, one hundred twenty thousand, two hundred one".