12100111000011 has 96 divisors (see below), whose sum is σ = 18885125376000. Its totient is φ = 7441473245184.

The previous prime is 12100111000001. The next prime is 12100111000067. The reversal of 12100111000011 is 11000011100121.

It is not a de Polignac number, because 12100111000011 - 2⁹ = 12100110999499 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100110999957 and 12100111000002.

It is not an unprimeable number, because it can be changed into a prime (12100111000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3818272635 + ... + 3818275803.

It is an arithmetic number, because the mean of its divisors is an integer number (196720056000).

Almost surely, 2^{12100111000011} is an apocalyptic number.

12100111000011 is a deficient number, since it is larger than the sum of its proper divisors (6785014375989).

12100111000011 is a wasteful number, since it uses less digits than its factorization.

12100111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12100111000011 its reverse (11000011100121), we get a palindrome (23100122100132).

The spelling of 12100111000011 in words is "twelve trillion, one hundred billion, one hundred eleven million, eleven", and thus it is an aban number.