1101112122233 has 2 divisors, whose sum is σ = 1101112122234. Its totient is φ = 1101112122232.

The previous prime is 1101112122197. The next prime is 1101112122329. The reversal of 1101112122233 is 3322212111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784832984464 + 316279137769 = 885908^2 + 562387^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101112122233 - 2¹⁰ = 1101112121209 is a prime.

It is a super-2 number, since 2×1101112122233² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1101112122433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550556061116 + 550556061117.

It is an arithmetic number, because the mean of its divisors is an integer number (550556061117).

Almost surely, 2^{1101112122233} is an apocalyptic number.

It is an amenable number.

1101112122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101112122233 is an equidigital number, since it uses as much as digits as its factorization.

1101112122233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1101112122233 its reverse (3322212111011), we get a palindrome (4423324233244).

The spelling of 1101112122233 in words is "one trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred thirty-three".