2000001001 has 2 divisors, whose sum is σ = 2000001002. Its totient is φ = 2000001000.

The previous prime is 2000000983. The next prime is 2000001013. The reversal of 2000001001 is 1001000002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1664232025 + 335768976 = 40795^2 + 18324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000001001 - 2²¹ = 1997903849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000011001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000000500 + 1000000501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000000501).

Almost surely, 2^2000001001 is an apocalyptic number.

It is an amenable number.

2000001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000001001 is an equidigital number, since it uses as much as digits as its factorization.

2000001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2000001001 is about 44721.3707415146. The cubic root of 2000001001 is about 1259.9212600917.

Adding to 2000001001 its reverse (1001000002), we get a palindrome (3001001003).

Subtracting from 2000001001 its reverse (1001000002), we obtain a palindrome (999000999).

The spelling of 2000001001 in words is "two billion, one thousand, one".