2000211001 has 2 divisors, whose sum is σ = 2000211002. Its totient is φ = 2000211000.

The previous prime is 2000210987. The next prime is 2000211013. The reversal of 2000211001 is 1001120002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1287374400 + 712836601 = 35880^2 + 26699^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000211001 - 2²⁷ = 1865993273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000211901) 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, 1000105500 + 1000105501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000105501).

Almost surely, 2^2000211001 is an apocalyptic number.

It is an amenable number.

2000211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000211001 is an equidigital number, since it uses as much as digits as its factorization.

2000211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2000211001 is about 44723.7185506751. The cubic root of 2000211001 is about 1259.9653557704.

Adding to 2000211001 its reverse (1001120002), we get a palindrome (3001331003).

Subtracting from 2000211001 its reverse (1001120002), we obtain a palindrome (999090999).

The spelling of 2000211001 in words is "two billion, two hundred eleven thousand, one".