100001330001 has 24 divisors (see below), whose sum is σ = 149847865440. Its totient is φ = 66644573472.

The previous prime is 100001329963. The next prime is 100001330003. The reversal of 100001330001 is 100033100001.

It is not a de Polignac number, because 100001330001 - 2¹³ = 100001321809 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100001330003) 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 23 ways as a sum of consecutive naturals, for example, 650565 + ... + 789453.

It is an arithmetic number, because the mean of its divisors is an integer number (6243661060).

Almost surely, 2^100001330001 is an apocalyptic number.

It is an amenable number.

100001330001 is a deficient number, since it is larger than the sum of its proper divisors (49846535439).

100001330001 is an equidigital number, since it uses as much as digits as its factorization.

100001330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141867 (or 141855 counting only the distinct ones).

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

Adding to 100001330001 its reverse (100033100001), we get a palindrome (200034430002).

The spelling of 100001330001 in words is "one hundred billion, one million, three hundred thirty thousand, one".