10001100033 has 12 divisors (see below), whose sum is σ = 14471077348. Its totient is φ = 6655841280.

The previous prime is 10001100019. The next prime is 10001100041. The reversal of 10001100033 is 33000110001.

It can be written as a sum of positive squares in 2 ways, for example, as 4986760689 + 5014339344 = 70617^2 + 70812^2 .

It is not a de Polignac number, because 10001100033 - 2⁵ = 10001100001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001099988 and 10001100024.

It is not an unprimeable number, because it can be changed into a prime (10001105033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957748 + ... + 968133.

Almost surely, 2^10001100033 is an apocalyptic number.

It is an amenable number.

10001100033 is a deficient number, since it is larger than the sum of its proper divisors (4469977315).

10001100033 is a wasteful number, since it uses less digits than its factorization.

10001100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926464 (or 1926461 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10001100033 its reverse (33000110001), we get a palindrome (43001210034).

The spelling of 10001100033 in words is "ten billion, one million, one hundred thousand, thirty-three".