121110101011121 has 2 divisors, whose sum is σ = 121110101011122. Its totient is φ = 121110101011120.

The previous prime is 121110101011111. The next prime is 121110101011139.

121110101011121 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107092714770721 + 14017386240400 = 10348561^2 + 3743980^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 121110101011121 - 2⁶ = 121110101011057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121110101011096 and 121110101011105.

It is not a weakly prime, because it can be changed into another prime (121110101011111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60555050505560 + 60555050505561.

It is an arithmetic number, because the mean of its divisors is an integer number (60555050505561).

Almost surely, 2^{121110101011121} is an apocalyptic number.

It is an amenable number.

121110101011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121110101011121 is an equidigital number, since it uses as much as digits as its factorization.

121110101011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 12111010 and 1011121, that added together give a palindrome (13122131).

The spelling of 121110101011121 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred one million, eleven thousand, one hundred twenty-one".