1020033110221 has 2 divisors, whose sum is σ = 1020033110222. Its totient is φ = 1020033110220.

The previous prime is 1020033110177. The next prime is 1020033110293. The reversal of 1020033110221 is 1220113300201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 972284742025 + 47748368196 = 986045^2 + 218514^2 .

It is an emirp because it is prime and its reverse (1220113300201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020033110221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020033110195 and 1020033110204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020033110321) 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, 510016555110 + 510016555111.

It is an arithmetic number, because the mean of its divisors is an integer number (510016555111).

Almost surely, 2^{1020033110221} is an apocalyptic number.

It is an amenable number.

1020033110221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020033110221 is an equidigital number, since it uses as much as digits as its factorization.

1020033110221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020033110221 its reverse (1220113300201), we get a palindrome (2240146410422).

The spelling of 1020033110221 in words is "one trillion, twenty billion, thirty-three million, one hundred ten thousand, two hundred twenty-one".