110101111000121 has 2 divisors, whose sum is σ = 110101111000122. Its totient is φ = 110101111000120.

The previous prime is 110101111000091. The next prime is 110101111000163. The reversal of 110101111000121 is 121000111101011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104902660840000 + 5198450160121 = 10242200^2 + 2280011^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101111000121 - 2¹⁰ = 110101110999097 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101111000421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050555500060 + 55050555500061.

It is an arithmetic number, because the mean of its divisors is an integer number (55050555500061).

Almost surely, 2^{110101111000121} is an apocalyptic number.

It is an amenable number.

110101111000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101111000121 is an equidigital number, since it uses as much as digits as its factorization.

110101111000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110101111000121 its reverse (121000111101011), we get a palindrome (231101222101132).

The spelling of 110101111000121 in words is "one hundred ten trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one", and thus it is an aban number.