1100110221233 has 2 divisors, whose sum is σ = 1100110221234. Its totient is φ = 1100110221232.

The previous prime is 1100110221193. The next prime is 1100110221253. The reversal of 1100110221233 is 3321220110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 663814303504 + 436295917729 = 814748^2 + 660527^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100110221233 - 2²⁶ = 1100043112369 is a prime.

It is a super-2 number, since 2×1100110221233² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1100110221253) 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, 550055110616 + 550055110617.

It is an arithmetic number, because the mean of its divisors is an integer number (550055110617).

Almost surely, 2^{1100110221233} is an apocalyptic number.

It is an amenable number.

1100110221233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110221233 is an equidigital number, since it uses as much as digits as its factorization.

1100110221233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1100110221233 its reverse (3321220110011), we get a palindrome (4421330331244).

The spelling of 1100110221233 in words is "one trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand, two hundred thirty-three".