1020033300221 has 16 divisors (see below), whose sum is σ = 1125380230128. Its totient is φ = 918530457600.

The previous prime is 1020033300199. The next prime is 1020033300227. The reversal of 1020033300221 is 1220033300201.

It can be written as a sum of positive squares in 8 ways, for example, as 352225632196 + 667807668025 = 593486^2 + 817195^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020033300221 - 2⁶ = 1020033300157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020033300221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020033300227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7230641 + ... + 7370361.

It is an arithmetic number, because the mean of its divisors is an integer number (70336264383).

Almost surely, 2^{1020033300221} is an apocalyptic number.

It is an amenable number.

1020033300221 is a deficient number, since it is larger than the sum of its proper divisors (105346929907).

1020033300221 is a wasteful number, since it uses less digits than its factorization.

1020033300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153472.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1020033300221 its reverse (1220033300201), we get a palindrome (2240066600422).

The spelling of 1020033300221 in words is "one trillion, twenty billion, thirty-three million, three hundred thousand, two hundred twenty-one".