11201011101017 has 2 divisors, whose sum is σ = 11201011101018. Its totient is φ = 11201011101016.

The previous prime is 11201011100999. The next prime is 11201011101037. The reversal of 11201011101017 is 71010111010211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11028669051136 + 172342049881 = 3320944^2 + 415141^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201011101017 - 2⁸ = 11201011100761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201011100986 and 11201011101004.

It is not a weakly prime, because it can be changed into another prime (11201011101037) 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, 5600505550508 + 5600505550509.

It is an arithmetic number, because the mean of its divisors is an integer number (5600505550509).

Almost surely, 2^{11201011101017} is an apocalyptic number.

It is an amenable number.

11201011101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201011101017 is an equidigital number, since it uses as much as digits as its factorization.

11201011101017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 11201011101017 its reverse (71010111010211), we get a palindrome (82211122111228).

The spelling of 11201011101017 in words is "eleven trillion, two hundred one billion, eleven million, one hundred one thousand, seventeen".