110111121101 has 2 divisors, whose sum is σ = 110111121102. Its totient is φ = 110111121100.

The previous prime is 110111121077. The next prime is 110111121149. The reversal of 110111121101 is 101121111011.

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., 67303924900 + 42807196201 = 259430^2 + 206899^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111121101 - 2¹⁴ = 110111104717 is a prime.

It is a super-3 number, since 3×110111121101³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055560550 + 55055560551.

It is an arithmetic number, because the mean of its divisors is an integer number (55055560551).

Almost surely, 2^110111121101 is an apocalyptic number.

It is an amenable number.

110111121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111121101 is an equidigital number, since it uses as much as digits as its factorization.

110111121101 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 110111121101 its reverse (101121111011), we get a palindrome (211232232112).

The spelling of 110111121101 in words is "one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".