100330212033 has 28 divisors (see below), whose sum is σ = 150598213668. Its totient is φ = 66810458880.

The previous prime is 100330212029. The next prime is 100330212041. The reversal of 100330212033 is 330212033001.

It can be written as a sum of positive squares in 2 ways, for example, as 16929392769 + 83400819264 = 130113^2 + 288792^2 .

It is not a de Polignac number, because 100330212033 - 2² = 100330212029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100330211997 and 100330212015.

It is not an unprimeable number, because it can be changed into a prime (100330212053) 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 27 ways as a sum of consecutive naturals, for example, 564141 + ... + 720357.

It is an arithmetic number, because the mean of its divisors is an integer number (5378507631).

Almost surely, 2^100330212033 is an apocalyptic number.

It is an amenable number.

100330212033 is a deficient number, since it is larger than the sum of its proper divisors (50268001635).

100330212033 is an frugal number, since it uses more digits than its factorization.

100330212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157116 (or 157101 counting only the distinct ones).

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

Adding to 100330212033 its reverse (330212033001), we get a palindrome (430542245034).

The spelling of 100330212033 in words is "one hundred billion, three hundred thirty million, two hundred twelve thousand, thirty-three".