100010330033 has 16 divisors (see below), whose sum is σ = 102381631440. Its totient is φ = 97669794816.

The previous prime is 100010330009. The next prime is 100010330089. The reversal of 100010330033 is 330033010001.

It can be written as a sum of positive squares in 8 ways, for example, as 19928121889 + 80082208144 = 141167^2 + 282988^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010330033 - 2⁸ = 100010329777 is a prime.

It is a super-2 number, since 2×100010330033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

100010330033 is a modest number, since divided by 330033 gives 100010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100030330033) 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 in 15 ways as a sum of consecutive naturals, for example, 3957803 + ... + 3982991.

It is an arithmetic number, because the mean of its divisors is an integer number (6398851965).

Almost surely, 2^100010330033 is an apocalyptic number.

It is an amenable number.

100010330033 is a deficient number, since it is larger than the sum of its proper divisors (2371301407).

100010330033 is a wasteful number, since it uses less digits than its factorization.

100010330033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25796.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 100010330033 its reverse (330033010001), we get a palindrome (430043340034).

The spelling of 100010330033 in words is "one hundred billion, ten million, three hundred thirty thousand, thirty-three".