12002100112001 has 8 divisors (see below), whose sum is σ = 12840900897600. Its totient is φ = 11184010457040.

The previous prime is 12002100111941. The next prime is 12002100112021. The reversal of 12002100112001 is 10021100120021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12002100112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002100112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5177781461 + ... + 5177783778.

It is an arithmetic number, because the mean of its divisors is an integer number (1605112612200).

Almost surely, 2^{12002100112001} is an apocalyptic number.

It is an amenable number.

12002100112001 is a deficient number, since it is larger than the sum of its proper divisors (838800785599).

12002100112001 is a wasteful number, since it uses less digits than its factorization.

12002100112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355565319.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12002100112001 its reverse (10021100120021), we get a palindrome (22023200232022).

The spelling of 12002100112001 in words is "twelve trillion, two billion, one hundred million, one hundred twelve thousand, one".