22112001122033 has 2 divisors, whose sum is σ = 22112001122034. Its totient is φ = 22112001122032.

The previous prime is 22112001122021. The next prime is 22112001122093. The reversal of 22112001122033 is 33022110021122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12464373762064 + 9647627359969 = 3530492^2 + 3106063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22112001122033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112001121996 and 22112001122014.

It is not a weakly prime, because it can be changed into another prime (22112001122093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056000561016 + 11056000561017.

It is an arithmetic number, because the mean of its divisors is an integer number (11056000561017).

Almost surely, 2^{22112001122033} is an apocalyptic number.

It is an amenable number.

22112001122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112001122033 is an equidigital number, since it uses as much as digits as its factorization.

22112001122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22112001122033 its reverse (33022110021122), we get a palindrome (55134111143155).

The spelling of 22112001122033 in words is "twenty-two trillion, one hundred twelve billion, one million, one hundred twenty-two thousand, thirty-three".