2003201001 has 48 divisors (see below), whose sum is σ = 3156321168. Its totient is φ = 1219276800.

The previous prime is 2003200931. The next prime is 2003201003. The reversal of 2003201001 is 1001023002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 208831401 + 1794369600 = 14451^2 + 42360^2 .

It is not a de Polignac number, because 2003201001 - 2¹⁰ = 2003199977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2003201003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234971 + ... + 1236591.

It is an arithmetic number, because the mean of its divisors is an integer number (65756691).

Almost surely, 2^2003201001 is an apocalyptic number.

It is an amenable number.

2003201001 is a deficient number, since it is larger than the sum of its proper divisors (1153120167).

2003201001 is a wasteful number, since it uses less digits than its factorization.

2003201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2003201001 is about 44757.1335208143. The cubic root of 2003201001 is about 1260.5928597017.

Adding to 2003201001 its reverse (1001023002), we get a palindrome (3004224003).

The spelling of 2003201001 in words is "two billion, three million, two hundred one thousand, one".