100221110003033 has 2 divisors, whose sum is σ = 100221110003034. Its totient is φ = 100221110003032.

The previous prime is 100221110003009. The next prime is 100221110003051. The reversal of 100221110003033 is 330300011122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54069359056969 + 46151750946064 = 7353187^2 + 6793508^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221110003033 - 2⁴⁴ = 82628923958617 is a prime.

It is a super-3 number, since 3×100221110003033³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100221110003083) 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, 50110555001516 + 50110555001517.

It is an arithmetic number, because the mean of its divisors is an integer number (50110555001517).

Almost surely, 2^{100221110003033} is an apocalyptic number.

It is an amenable number.

100221110003033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221110003033 is an equidigital number, since it uses as much as digits as its factorization.

100221110003033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100221110003033 its reverse (330300011122001), we get a palindrome (430521121125034).

The spelling of 100221110003033 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten million, three thousand, thirty-three".