211122100022033 has 2 divisors, whose sum is σ = 211122100022034. Its totient is φ = 211122100022032.

The previous prime is 211122100022003. The next prime is 211122100022107. The reversal of 211122100022033 is 330220001221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113834986745104 + 97287113276929 = 10669348^2 + 9863423^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122100022033 - 2³⁰ = 211121026280209 is a prime.

It is a super-2 number, since 2×211122100022033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211122100021996 and 211122100022014.

It is not a weakly prime, because it can be changed into another prime (211122100022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561050011016 + 105561050011017.

It is an arithmetic number, because the mean of its divisors is an integer number (105561050011017).

Almost surely, 2^{211122100022033} is an apocalyptic number.

It is an amenable number.

211122100022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122100022033 is an equidigital number, since it uses as much as digits as its factorization.

211122100022033 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 211122100022033 its reverse (330220001221112), we get a palindrome (541342101243145).

The spelling of 211122100022033 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, thirty-three".