21027306101 has 2 divisors, whose sum is σ = 21027306102. Its totient is φ = 21027306100.

The previous prime is 21027306067. The next prime is 21027306119. The reversal of 21027306101 is 10160372012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19958343076 + 1068963025 = 141274^2 + 32695^2 .

It is a cyclic number.

It is not a de Polignac number, because 21027306101 - 2³⁴ = 3847436917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21027306161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10513653050 + 10513653051.

It is an arithmetic number, because the mean of its divisors is an integer number (10513653051).

Almost surely, 2^21027306101 is an apocalyptic number.

It is an amenable number.

21027306101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21027306101 is an equidigital number, since it uses as much as digits as its factorization.

21027306101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 21027306101 its reverse (10160372012), we get a palindrome (31187678113).

The spelling of 21027306101 in words is "twenty-one billion, twenty-seven million, three hundred six thousand, one hundred one".