110005111121 has 2 divisors, whose sum is σ = 110005111122. Its totient is φ = 110005111120.

The previous prime is 110005111057. The next prime is 110005111141. The reversal of 110005111121 is 121111500011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79357707025 + 30647404096 = 281705^2 + 175064^2 .

It is a cyclic number.

It is not a de Polignac number, because 110005111121 - 2⁶ = 110005111057 is a prime.

It is a super-2 number, since 2×110005111121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110005111096 and 110005111105.

It is not a weakly prime, because it can be changed into another prime (110005111141) 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, 55002555560 + 55002555561.

It is an arithmetic number, because the mean of its divisors is an integer number (55002555561).

Almost surely, 2^110005111121 is an apocalyptic number.

It is an amenable number.

110005111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110005111121 is an equidigital number, since it uses as much as digits as its factorization.

110005111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 110005111121 its reverse (121111500011), we get a palindrome (231116611132).

The spelling of 110005111121 in words is "one hundred ten billion, five million, one hundred eleven thousand, one hundred twenty-one".