12000102011001 has 192 divisors, whose sum is σ = 20556062392320. Its totient is φ = 6687374722560.

The previous prime is 12000102010937. The next prime is 12000102011033. The reversal of 12000102011001 is 10011020100021.

It is a happy number.

It is not a de Polignac number, because 12000102011001 - 2⁶ = 12000102010937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12000102021001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509179120 + ... + 509202686.

It is an arithmetic number, because the mean of its divisors is an integer number (107062824960).

Almost surely, 2^{12000102011001} is an apocalyptic number.

It is an amenable number.

12000102011001 is a deficient number, since it is larger than the sum of its proper divisors (8555960381319).

12000102011001 is a wasteful number, since it uses less digits than its factorization.

12000102011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796 (or 23793 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000102011001 its reverse (10011020100021), we get a palindrome (22011122111022).

The spelling of 12000102011001 in words is "twelve trillion, one hundred two million, eleven thousand, one".