100100221033 has 2 divisors, whose sum is σ = 100100221034. Its totient is φ = 100100221032.

The previous prime is 100100221009. The next prime is 100100221043. The reversal of 100100221033 is 330122001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96554375824 + 3545845209 = 310732^2 + 59547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100221033 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100221043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050110516 + 50050110517.

It is an arithmetic number, because the mean of its divisors is an integer number (50050110517).

Almost surely, 2^100100221033 is an apocalyptic number.

It is an amenable number.

100100221033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100221033 is an equidigital number, since it uses as much as digits as its factorization.

100100221033 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 100100221033 its reverse (330122001001), we get a palindrome (430222222034).

The spelling of 100100221033 in words is "one hundred billion, one hundred million, two hundred twenty-one thousand, thirty-three".