121121100017 has 2 divisors, whose sum is σ = 121121100018. Its totient is φ = 121121100016.

The previous prime is 121121099987. The next prime is 121121100019. The reversal of 121121100017 is 710001121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103926285376 + 17194814641 = 322376^2 + 131129^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121100017 - 2¹⁶ = 121121034481 is a prime.

Together with 121121100019, 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 = 121121099968 and 121121100004.

It is not a weakly prime, because it can be changed into another prime (121121100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560550008 + 60560550009.

It is an arithmetic number, because the mean of its divisors is an integer number (60560550009).

Almost surely, 2^121121100017 is an apocalyptic number.

It is an amenable number.

121121100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121100017 is an equidigital number, since it uses as much as digits as its factorization.

121121100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 121121100017 its reverse (710001121121), we get a palindrome (831122221138).

The spelling of 121121100017 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, seventeen".