21011211012089 has 2 divisors, whose sum is σ = 21011211012090. Its totient is φ = 21011211012088.

The previous prime is 21011211012079. The next prime is 21011211012289. The reversal of 21011211012089 is 98021011211012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16140949056400 + 4870261955689 = 4017580^2 + 2206867^2 .

It is a cyclic number.

It is not a de Polignac number, because 21011211012089 - 2⁴ = 21011211012073 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21011211012079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505605506044 + 10505605506045.

It is an arithmetic number, because the mean of its divisors is an integer number (10505605506045).

Almost surely, 2^{21011211012089} is an apocalyptic number.

It is an amenable number.

21011211012089 is a deficient number, since it is larger than the sum of its proper divisors (1).

21011211012089 is an equidigital number, since it uses as much as digits as its factorization.

21011211012089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 21011211012089 in words is "twenty-one trillion, eleven billion, two hundred eleven million, twelve thousand, eighty-nine".