21011211012289 has 2 divisors, whose sum is σ = 21011211012290. Its totient is φ = 21011211012288.

The previous prime is 21011211012089. The next prime is 21011211012293. The reversal of 21011211012289 is 98221011211012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11718572097600 + 9292638914689 = 3423240^2 + 3048383^2 .

It is a cyclic number.

It is not a de Polignac number, because 21011211012289 - 2²⁵ = 21011177457857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21011211012289.

It is not a weakly prime, because it can be changed into another prime (21011211012089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505605506144 + 10505605506145.

It is an arithmetic number, because the mean of its divisors is an integer number (10505605506145).

Almost surely, 2^{21011211012289} is an apocalyptic number.

It is an amenable number.

21011211012289 is a deficient number, since it is larger than the sum of its proper divisors (1).

21011211012289 is an equidigital number, since it uses as much as digits as its factorization.

21011211012289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 21011211012289 in words is "twenty-one trillion, eleven billion, two hundred eleven million, twelve thousand, two hundred eighty-nine".