21201110110009 has 2 divisors, whose sum is σ = 21201110110010. Its totient is φ = 21201110110008.

The previous prime is 21201110110007. The next prime is 21201110110073. The reversal of 21201110110009 is 90001101110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20830506762025 + 370603347984 = 4564045^2 + 608772^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201110110009 - 2¹ = 21201110110007 is a prime.

Together with 21201110110007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21201110110007) 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, 10600555055004 + 10600555055005.

It is an arithmetic number, because the mean of its divisors is an integer number (10600555055005).

Almost surely, 2^{21201110110009} is an apocalyptic number.

It is an amenable number.

21201110110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201110110009 is an equidigital number, since it uses as much as digits as its factorization.

21201110110009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 21201110110009 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, one hundred ten thousand, nine".