110033101121 has 2 divisors, whose sum is σ = 110033101122. Its totient is φ = 110033101120.

The previous prime is 110033101051. The next prime is 110033101133. The reversal of 110033101121 is 121101330011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110001008896 + 32092225 = 331664^2 + 5665^2 .

It is a cyclic number.

It is not a de Polignac number, because 110033101121 - 2¹⁰ = 110033100097 is a prime.

It is a super-2 number, since 2×110033101121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110033101096 and 110033101105.

It is not a weakly prime, because it can be changed into another prime (110033101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55016550560 + 55016550561.

It is an arithmetic number, because the mean of its divisors is an integer number (55016550561).

Almost surely, 2^110033101121 is an apocalyptic number.

It is an amenable number.

110033101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110033101121 is an equidigital number, since it uses as much as digits as its factorization.

110033101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110033101121 its reverse (121101330011), we get a palindrome (231134431132).

The spelling of 110033101121 in words is "one hundred ten billion, thirty-three million, one hundred one thousand, one hundred twenty-one".