1121122100233 has 2 divisors, whose sum is σ = 1121122100234. Its totient is φ = 1121122100232.

The previous prime is 1121122100191. The next prime is 1121122100261. The reversal of 1121122100233 is 3320012211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1028250756729 + 92871343504 = 1014027^2 + 304748^2 .

It is an emirp because it is prime and its reverse (3320012211211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1121122100233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1121122100233.

It is not a weakly prime, because it can be changed into another prime (1121122101233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560561050116 + 560561050117.

It is an arithmetic number, because the mean of its divisors is an integer number (560561050117).

Almost surely, 2^{1121122100233} is an apocalyptic number.

It is an amenable number.

1121122100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121122100233 is an equidigital number, since it uses as much as digits as its factorization.

1121122100233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1121122100233 its reverse (3320012211211), we get a palindrome (4441134311444).

The spelling of 1121122100233 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, two hundred thirty-three".