100221001033 has 2 divisors, whose sum is σ = 100221001034. Its totient is φ = 100221001032.

The previous prime is 100221001031. The next prime is 100221001123. The reversal of 100221001033 is 330100122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97117619769 + 3103381264 = 311637^2 + 55708^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221001033 - 2¹ = 100221001031 is a prime.

Together with 100221001031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100221001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110500516 + 50110500517.

It is an arithmetic number, because the mean of its divisors is an integer number (50110500517).

Almost surely, 2^100221001033 is an apocalyptic number.

It is an amenable number.

100221001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221001033 is an equidigital number, since it uses as much as digits as its factorization.

100221001033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100221001033 its reverse (330100122001), we get a palindrome (430321123034).

The spelling of 100221001033 in words is "one hundred billion, two hundred twenty-one million, one thousand, thirty-three".