110121222121033 has 2 divisors, whose sum is σ = 110121222121034. Its totient is φ = 110121222121032.

The previous prime is 110121222121003. The next prime is 110121222121061. The reversal of 110121222121033 is 330121222121011.

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., 101470405855504 + 8650816265529 = 10073252^2 + 2941227^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121222121033 - 2⁴⁵ = 74936850032201 is a prime.

It is a super-2 number, since 2×110121222121033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110121222120995 and 110121222121013.

It is not a weakly prime, because it can be changed into another prime (110121222121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060611060516 + 55060611060517.

It is an arithmetic number, because the mean of its divisors is an integer number (55060611060517).

Almost surely, 2^{110121222121033} is an apocalyptic number.

It is an amenable number.

110121222121033 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121222121033 is an equidigital number, since it uses as much as digits as its factorization.

110121222121033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Subtracting from 110121222121033 its sum of digits (22), we obtain a palindrome (110121222121011).

Adding to 110121222121033 its reverse (330121222121011), we get a palindrome (440242444242044).

The spelling of 110121222121033 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, thirty-three".