21011321212289 has 2 divisors, whose sum is σ = 21011321212290. Its totient is φ = 21011321212288.

The previous prime is 21011321212153. The next prime is 21011321212339. The reversal of 21011321212289 is 98221212311012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21010379029264 + 942183025 = 4583708^2 + 30695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21011321212289 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 (21011321262289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505660606144 + 10505660606145.

It is an arithmetic number, because the mean of its divisors is an integer number (10505660606145).

Almost surely, 2^{21011321212289} is an apocalyptic number.

It is an amenable number.

21011321212289 is a deficient number, since it is larger than the sum of its proper divisors (1).

21011321212289 is an equidigital number, since it uses as much as digits as its factorization.

21011321212289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 21011321212289 in words is "twenty-one trillion, eleven billion, three hundred twenty-one million, two hundred twelve thousand, two hundred eighty-nine".