101111221106017 has 2 divisors, whose sum is σ = 101111221106018. Its totient is φ = 101111221106016.

The previous prime is 101111221105987. The next prime is 101111221106023. The reversal of 101111221106017 is 710601122111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72532884357376 + 28578336748641 = 8516624^2 + 5345871^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111221106017 - 2⁷ = 101111221105889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111221105982 and 101111221106000.

It is not a weakly prime, because it can be changed into another prime (101111221106057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555610553008 + 50555610553009.

It is an arithmetic number, because the mean of its divisors is an integer number (50555610553009).

Almost surely, 2^{101111221106017} is an apocalyptic number.

It is an amenable number.

101111221106017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111221106017 is an equidigital number, since it uses as much as digits as its factorization.

101111221106017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 25.

Adding to 101111221106017 its reverse (710601122111101), we get a palindrome (811712343217118).

The spelling of 101111221106017 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred six thousand, seventeen".