21123221003333 has 2 divisors, whose sum is σ = 21123221003334. Its totient is φ = 21123221003332.

The previous prime is 21123221003327. The next prime is 21123221003363. The reversal of 21123221003333 is 33330012232112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20865463744129 + 257757259204 = 4567873^2 + 507698^2 .

It is a cyclic number.

It is not a de Polignac number, because 21123221003333 - 2⁴ = 21123221003317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21123221003363) 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, 10561610501666 + 10561610501667.

It is an arithmetic number, because the mean of its divisors is an integer number (10561610501667).

Almost surely, 2^{21123221003333} is an apocalyptic number.

It is an amenable number.

21123221003333 is a deficient number, since it is larger than the sum of its proper divisors (1).

21123221003333 is an equidigital number, since it uses as much as digits as its factorization.

21123221003333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 21123221003333 its reverse (33330012232112), we get a palindrome (54453233235445).

The spelling of 21123221003333 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred twenty-one million, three thousand, three hundred thirty-three".