112002022122233 has 2 divisors, whose sum is σ = 112002022122234. Its totient is φ = 112002022122232.

The previous prime is 112002022122121. The next prime is 112002022122241. The reversal of 112002022122233 is 332221220200211.

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., 72271540605289 + 39730481516944 = 8501267^2 + 6303212^2 .

It is a cyclic number.

It is not a de Polignac number, because 112002022122233 - 2¹² = 112002022118137 is a prime.

It is a super-3 number, since 3×112002022122233³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112002022122199 and 112002022122208.

It is not a weakly prime, because it can be changed into another prime (112002022122253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56001011061116 + 56001011061117.

It is an arithmetic number, because the mean of its divisors is an integer number (56001011061117).

Almost surely, 2^{112002022122233} is an apocalyptic number.

It is an amenable number.

112002022122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

112002022122233 is an equidigital number, since it uses as much as digits as its factorization.

112002022122233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 112002022122233 its reverse (332221220200211), we get a palindrome (444223242322444).

The spelling of 112002022122233 in words is "one hundred twelve trillion, two billion, twenty-two million, one hundred twenty-two thousand, two hundred thirty-three".