2101221020033 has 2 divisors, whose sum is σ = 2101221020034. Its totient is φ = 2101221020032.

The previous prime is 2101221020009. The next prime is 2101221020071. The reversal of 2101221020033 is 3300201221012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1994469834049 + 106751185984 = 1412257^2 + 326728^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101221020033 - 2¹² = 2101221015937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101221019993 and 2101221020020.

It is not a weakly prime, because it can be changed into another prime (2101221020333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050610510016 + 1050610510017.

It is an arithmetic number, because the mean of its divisors is an integer number (1050610510017).

Almost surely, 2^{2101221020033} is an apocalyptic number.

It is an amenable number.

2101221020033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101221020033 is an equidigital number, since it uses as much as digits as its factorization.

2101221020033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2101221020033 its reverse (3300201221012), we get a palindrome (5401422241045).

The spelling of 2101221020033 in words is "two trillion, one hundred one billion, two hundred twenty-one million, twenty thousand, thirty-three".