1020221103001 has 2 divisors, whose sum is σ = 1020221103002. Its totient is φ = 1020221103000.

The previous prime is 1020221102963. The next prime is 1020221103043. The reversal of 1020221103001 is 1003011220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 910686581401 + 109534521600 = 954299^2 + 330960^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020221103001 - 2⁹ = 1020221102489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020221103061) 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, 510110551500 + 510110551501.

It is an arithmetic number, because the mean of its divisors is an integer number (510110551501).

Almost surely, 2^{1020221103001} is an apocalyptic number.

It is an amenable number.

1020221103001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221103001 is an equidigital number, since it uses as much as digits as its factorization.

1020221103001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1020221103001 its reverse (1003011220201), we get a palindrome (2023232323202).

The spelling of 1020221103001 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred three thousand, one".