2101222022033 has 2 divisors, whose sum is σ = 2101222022034. Its totient is φ = 2101222022032.

The previous prime is 2101222021973. The next prime is 2101222022111. The reversal of 2101222022033 is 3302202221012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1810510184704 + 290711837329 = 1345552^2 + 539177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101222022033 - 2³⁴ = 2084042152849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101222021996 and 2101222022014.

It is not a weakly prime, because it can be changed into another prime (2101222021033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050611011016 + 1050611011017.

It is an arithmetic number, because the mean of its divisors is an integer number (1050611011017).

Almost surely, 2^{2101222022033} is an apocalyptic number.

It is an amenable number.

2101222022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101222022033 is an equidigital number, since it uses as much as digits as its factorization.

2101222022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2101222022033 its reverse (3302202221012), we get a palindrome (5403424243045).

The spelling of 2101222022033 in words is "two trillion, one hundred one billion, two hundred twenty-two million, twenty-two thousand, thirty-three".