111221011222133 has 2 divisors, whose sum is σ = 111221011222134. Its totient is φ = 111221011222132.

The previous prime is 111221011222091. The next prime is 111221011222159. The reversal of 111221011222133 is 331222110122111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111056335958929 + 164675263204 = 10538327^2 + 405802^2 .

It is a cyclic number.

It is not a de Polignac number, because 111221011222133 - 2²⁶ = 111220944113269 is a prime.

It is a super-2 number, since 2×111221011222133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111221011222099 and 111221011222108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111221011282133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55610505611066 + 55610505611067.

It is an arithmetic number, because the mean of its divisors is an integer number (55610505611067).

Almost surely, 2^{111221011222133} is an apocalyptic number.

It is an amenable number.

111221011222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111221011222133 is an equidigital number, since it uses as much as digits as its factorization.

111221011222133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 111221011222133 its reverse (331222110122111), we get a palindrome (442443121344244).

The spelling of 111221011222133 in words is "one hundred eleven trillion, two hundred twenty-one billion, eleven million, two hundred twenty-two thousand, one hundred thirty-three".