2004031121 has 2 divisors, whose sum is σ = 2004031122. Its totient is φ = 2004031120.

The previous prime is 2004031097. The next prime is 2004031151. The reversal of 2004031121 is 1211304002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007745025 + 996286096 = 31745^2 + 31564^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004031121 - 2¹⁴ = 2004014737 is a prime.

It is a super-2 number, since 2×2004031121² = 8032281467873033282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004031096 and 2004031105.

It is not a weakly prime, because it can be changed into another prime (2004031151) 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 as a sum of consecutive naturals, namely, 1002015560 + 1002015561.

It is an arithmetic number, because the mean of its divisors is an integer number (1002015561).

Almost surely, 2^2004031121 is an apocalyptic number.

It is an amenable number.

2004031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004031121 is an equidigital number, since it uses as much as digits as its factorization.

2004031121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2004031121 is about 44766.4061657846. The cubic root of 2004031121 is about 1260.7669641858.

Adding to 2004031121 its reverse (1211304002), we get a palindrome (3215335123).

The spelling of 2004031121 in words is "two billion, four million, thirty-one thousand, one hundred twenty-one".