12002101112001 has 96 divisors (see below), whose sum is σ = 21840645093120. Its totient is φ = 5704320061440.

The previous prime is 12002101111991. The next prime is 12002101112003. The reversal of 12002101112001 is 10021110120021.

It is not a de Polignac number, because 12002101112001 - 2²⁹ = 12001564241089 is a prime.

It is a super-2 number, since 2×12002101112001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12002101112003) 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 95 ways as a sum of consecutive naturals, for example, 2125045 + ... + 5340413.

It is an arithmetic number, because the mean of its divisors is an integer number (227506719720).

Almost surely, 2^{12002101112001} is an apocalyptic number.

12002101112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002101112001 is a deficient number, since it is larger than the sum of its proper divisors (9838543981119).

12002101112001 is a wasteful number, since it uses less digits than its factorization.

12002101112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215527 (or 3215516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002101112001 its reverse (10021110120021), we get a palindrome (22023211232022).

The spelling of 12002101112001 in words is "twelve trillion, two billion, one hundred one million, one hundred twelve thousand, one".