100201112013033 has 20 divisors (see below), whose sum is σ = 149686368016020. Its totient is φ = 66799301916672.

The previous prime is 100201112013017. The next prime is 100201112013049. The reversal of 100201112013033 is 330310211102001.

It is an interprime number because it is at equal distance from previous prime (100201112013017) and next prime (100201112013049).

It can be written as a sum of positive squares in 2 ways, for example, as 18712433169369 + 81488678843664 = 4325787^2 + 9027108^2 .

It is not a de Polignac number, because 100201112013033 - 2⁴ = 100201112013017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201112012997 and 100201112013015.

It is not an unprimeable number, because it can be changed into a prime (100201112013073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9539160 + ... + 17070377.

It is an arithmetic number, because the mean of its divisors is an integer number (7484318400801).

Almost surely, 2^{100201112013033} is an apocalyptic number.

It is an amenable number.

100201112013033 is a deficient number, since it is larger than the sum of its proper divisors (49485256002987).

100201112013033 is an equidigital number, since it uses as much as digits as its factorization.

100201112013033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26656038 (or 26656029 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100201112013033 its reverse (330310211102001), we get a palindrome (430511323115034).

The spelling of 100201112013033 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, thirteen thousand, thirty-three".