100002002112001 has 32 divisors (see below), whose sum is σ = 114540594831360. Its totient is φ = 86472274982400.

The previous prime is 100002002111971. The next prime is 100002002112013. The reversal of 100002002112001 is 100211200200001.

It is a cyclic number.

It is not a de Polignac number, because 100002002112001 - 2³³ = 99993412177409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002002112031) 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, 117412660 + ... + 118261306.

It is an arithmetic number, because the mean of its divisors is an integer number (3579393588480).

Almost surely, 2^{100002002112001} is an apocalyptic number.

100002002112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002002112001 is a deficient number, since it is larger than the sum of its proper divisors (14538592719359).

100002002112001 is a wasteful number, since it uses less digits than its factorization.

100002002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854605.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002002112001 its reverse (100211200200001), we get a palindrome (200213202312002).

The spelling of 100002002112001 in words is "one hundred trillion, two billion, two million, one hundred twelve thousand, one".