2001033121 has 2 divisors, whose sum is σ = 2001033122. Its totient is φ = 2001033120.

The previous prime is 2001033119. The next prime is 2001033163. The reversal of 2001033121 is 1213301002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1716942096 + 284091025 = 41436^2 + 16855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001033121 - 2¹ = 2001033119 is a prime.

Together with 2001033119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2001033421) 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, 1000516560 + 1000516561.

It is an arithmetic number, because the mean of its divisors is an integer number (1000516561).

Almost surely, 2^2001033121 is an apocalyptic number.

It is an amenable number.

2001033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001033121 is an equidigital number, since it uses as much as digits as its factorization.

2001033121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2001033121 is about 44732.9087026542. The cubic root of 2001033121 is about 1260.1379543669.

Adding to 2001033121 its reverse (1213301002), we get a palindrome (3214334123).

The spelling of 2001033121 in words is "two billion, one million, thirty-three thousand, one hundred twenty-one".