21120011101171 has 2 divisors, whose sum is σ = 21120011101172. Its totient is φ = 21120011101170.

The previous prime is 21120011101051. The next prime is 21120011101199. The reversal of 21120011101171 is 17110111002112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21120011101171 is a prime.

It is not a weakly prime, because it can be changed into another prime (21120011101771) 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, 10560005550585 + 10560005550586.

It is an arithmetic number, because the mean of its divisors is an integer number (10560005550586).

Almost surely, 2^{21120011101171} is an apocalyptic number.

21120011101171 is a deficient number, since it is larger than the sum of its proper divisors (1).

21120011101171 is an equidigital number, since it uses as much as digits as its factorization.

21120011101171 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 21120011101171 its reverse (17110111002112), we get a palindrome (38230122103283).

The spelling of 21120011101171 in words is "twenty-one trillion, one hundred twenty billion, eleven million, one hundred one thousand, one hundred seventy-one".