121111211211017 has 2 divisors, whose sum is σ = 121111211211018. Its totient is φ = 121111211211016.

The previous prime is 121111211210993. The next prime is 121111211211041. The reversal of 121111211211017 is 710112112111121.

It is a balanced prime because it is at equal distance from previous prime (121111211210993) and next prime (121111211211041).

It can be written as a sum of positive squares in only one way, i.e., 111612801572416 + 9498409638601 = 10564696^2 + 3081949^2 .

It is a cyclic number.

It is not a de Polignac number, because 121111211211017 - 2³⁸ = 120836333304073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121111211210983 and 121111211211001.

It is not a weakly prime, because it can be changed into another prime (121111211211077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60555605605508 + 60555605605509.

It is an arithmetic number, because the mean of its divisors is an integer number (60555605605509).

Almost surely, 2^{121111211211017} is an apocalyptic number.

It is an amenable number.

121111211211017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121111211211017 is an equidigital number, since it uses as much as digits as its factorization.

121111211211017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 23.

Adding to 121111211211017 its reverse (710112112111121), we get a palindrome (831223323322138).

The spelling of 121111211211017 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, seventeen".