21221012102033 has 2 divisors, whose sum is σ = 21221012102034. Its totient is φ = 21221012102032.

The previous prime is 21221012101997. The next prime is 21221012102063. The reversal of 21221012102033 is 33020121012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19149577296529 + 2071434805504 = 4376023^2 + 1439248^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221012102033 - 2²⁴ = 21220995324817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21221012101996 and 21221012102014.

It is not a weakly prime, because it can be changed into another prime (21221012102063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610506051016 + 10610506051017.

It is an arithmetic number, because the mean of its divisors is an integer number (10610506051017).

Almost surely, 2^{21221012102033} is an apocalyptic number.

It is an amenable number.

21221012102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221012102033 is an equidigital number, since it uses as much as digits as its factorization.

21221012102033 is an evil number, because the sum of its binary digits is even.

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

Adding to 21221012102033 its reverse (33020121012212), we get a palindrome (54241133114245).

The spelling of 21221012102033 in words is "twenty-one trillion, two hundred twenty-one billion, twelve million, one hundred two thousand, thirty-three".