100013021122233 has 32 divisors (see below), whose sum is σ = 134578076330880. Its totient is φ = 66064934336000.

The previous prime is 100013021122213. The next prime is 100013021122253. The reversal of 100013021122233 is 332221120310001.

It is an interprime number because it is at equal distance from previous prime (100013021122213) and next prime (100013021122253).

It is a cyclic number.

It is not a de Polignac number, because 100013021122233 - 2²⁶ = 100012954013369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100013021122213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194315935 + ... + 194829947.

It is an arithmetic number, because the mean of its divisors is an integer number (4205564885340).

Almost surely, 2^{100013021122233} is an apocalyptic number.

It is an amenable number.

100013021122233 is a deficient number, since it is larger than the sum of its proper divisors (34565055208647).

100013021122233 is a wasteful number, since it uses less digits than its factorization.

100013021122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515609.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100013021122233 its reverse (332221120310001), we get a palindrome (432234141432234).

The spelling of 100013021122233 in words is "one hundred trillion, thirteen billion, twenty-one million, one hundred twenty-two thousand, two hundred thirty-three".