100233020100033 has 40 divisors (see below), whose sum is σ = 150307026857856. Its totient is φ = 66565190815200.

The previous prime is 100233020100007. The next prime is 100233020100041. The reversal of 100233020100033 is 330001020332001.

100233020100033 is a `hidden beast` number, since 100 + 2 + 330 + 201 + 0 + 0 + 0 + 33 = 666.

It is not a de Polignac number, because 100233020100033 - 2⁶ = 100233020099969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100233020099979 and 100233020100015.

It is not an unprimeable number, because it can be changed into a prime (100233020100533) 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 in 39 ways as a sum of consecutive naturals, for example, 30980728 + ... + 34062758.

Almost surely, 2^{100233020100033} is an apocalyptic number.

It is an amenable number.

100233020100033 is a deficient number, since it is larger than the sum of its proper divisors (50074006757823).

100233020100033 is a wasteful number, since it uses less digits than its factorization.

100233020100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083587 (or 3083578 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100233020100033 its reverse (330001020332001), we get a palindrome (430234040432034).

The spelling of 100233020100033 in words is "one hundred trillion, two hundred thirty-three billion, twenty million, one hundred thousand, thirty-three".