2101000289 has 2 divisors, whose sum is σ = 2101000290. Its totient is φ = 2101000288.

The previous prime is 2101000249. The next prime is 2101000333. The reversal of 2101000289 is 9820001012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2100663889 + 336400 = 45833^2 + 580^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101000289 - 2¹⁶ = 2100934753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101000229) 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, 1050500144 + 1050500145.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500145).

Almost surely, 2^2101000289 is an apocalyptic number.

It is an amenable number.

2101000289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101000289 is an equidigital number, since it uses as much as digits as its factorization.

2101000289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2101000289 is about 45836.6696979613. The cubic root of 2101000289 is about 1280.7824579910.

The spelling of 2101000289 in words is "two billion, one hundred one million, two hundred eighty-nine", and thus it is an aban number.