100133100001 has 24 divisors (see below), whose sum is σ = 116700030720. Its totient is φ = 85556254080.

The previous prime is 100133099987. The next prime is 100133100017. The reversal of 100133100001 is 100001331001.

It is not a de Polignac number, because 100133100001 - 2¹³ = 100133091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461960 + ... + 1528918.

It is an arithmetic number, because the mean of its divisors is an integer number (4862501280).

Almost surely, 2^100133100001 is an apocalyptic number.

100133100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100133100001 is a deficient number, since it is larger than the sum of its proper divisors (16566930719).

100133100001 is a wasteful number, since it uses less digits than its factorization.

100133100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67725 (or 67714 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100133100001 its reverse (100001331001), we get a palindrome (200134431002).

The spelling of 100133100001 in words is "one hundred billion, one hundred thirty-three million, one hundred thousand, one".