201100221017 has 2 divisors, whose sum is σ = 201100221018. Its totient is φ = 201100221016.

The previous prime is 201100220977. The next prime is 201100221019. The reversal of 201100221017 is 710122001102.

201100221017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200009306176 + 1090914841 = 447224^2 + 33029^2 .

It is a cyclic number.

It is not a de Polignac number, because 201100221017 - 2¹⁰ = 201100219993 is a prime.

Together with 201100221019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 201100220986 and 201100221004.

It is not a weakly prime, because it can be changed into another prime (201100221019) 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, 100550110508 + 100550110509.

It is an arithmetic number, because the mean of its divisors is an integer number (100550110509).

Almost surely, 2^201100221017 is an apocalyptic number.

It is an amenable number.

201100221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

201100221017 is an equidigital number, since it uses as much as digits as its factorization.

201100221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 201100221017 its reverse (710122001102), we get a palindrome (911222222119).

The spelling of 201100221017 in words is "two hundred one billion, one hundred million, two hundred twenty-one thousand, seventeen".