121161121 has 2 divisors, whose sum is σ = 121161122. Its totient is φ = 121161120.

The previous prime is 121161077. The next prime is 121161137.

121161121 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (121161137) can be obtained adding 121161121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74580496 + 46580625 = 8636^2 + 6825^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 121161121 - 2⁹ = 121160609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121161095 and 121161104.

It is not a weakly prime, because it can be changed into another prime (121161151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60580560 + 60580561.

It is an arithmetic number, because the mean of its divisors is an integer number (60580561).

Almost surely, 2^121161121 is an apocalyptic number.

It is an amenable number.

121161121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121161121 is an equidigital number, since it uses as much as digits as its factorization.

121161121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 16.

The square root of 121161121 is about 11007.3212454257. The cubic root of 121161121 is about 494.8281837454.

The spelling of 121161121 in words is "one hundred twenty-one million, one hundred sixty-one thousand, one hundred twenty-one".