221100101121017 has 2 divisors, whose sum is σ = 221100101121018. Its totient is φ = 221100101121016.

The previous prime is 221100101121013. The next prime is 221100101121019. The reversal of 221100101121017 is 710121101001122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214466535144976 + 6633565976041 = 14644676^2 + 2575571^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100101121017 - 2² = 221100101121013 is a prime.

It is a super-2 number, since 2×221100101121017² (a number of 29 digits) contains 22 as substring.

Together with 221100101121019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221100101121017.

It is not a weakly prime, because it can be changed into another prime (221100101121013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550050560508 + 110550050560509.

It is an arithmetic number, because the mean of its divisors is an integer number (110550050560509).

Almost surely, 2^{221100101121017} is an apocalyptic number.

It is an amenable number.

221100101121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100101121017 is an equidigital number, since it uses as much as digits as its factorization.

221100101121017 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 20.

Adding to 221100101121017 its reverse (710121101001122), we get a palindrome (931221202122139).

The spelling of 221100101121017 in words is "two hundred twenty-one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, seventeen".