12002002101001 has 64 divisors (see below), whose sum is σ = 13570843410432. Its totient is φ = 10520072640000.

The previous prime is 12002002100989. The next prime is 12002002101041. The reversal of 12002002101001 is 10010120020021.

It is not a de Polignac number, because 12002002101001 - 2⁷ = 12002002100873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002002101041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12111000616 + ... + 12111001606.

It is an arithmetic number, because the mean of its divisors is an integer number (212044428288).

Almost surely, 2^{12002002101001} is an apocalyptic number.

12002002101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002002101001 is a deficient number, since it is larger than the sum of its proper divisors (1568841309431).

12002002101001 is a wasteful number, since it uses less digits than its factorization.

12002002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014.

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

Adding to 12002002101001 its reverse (10010120020021), we get a palindrome (22012122121022).

The spelling of 12002002101001 in words is "twelve trillion, two billion, two million, one hundred one thousand, one".