12101121000111 has 64 divisors (see below), whose sum is σ = 20820798996480. Its totient is φ = 6134699514240.

The previous prime is 12101121000107. The next prime is 12101121000113. The reversal of 12101121000111 is 11100012110121.

It is not a de Polignac number, because 12101121000111 - 2² = 12101121000107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101121000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32086831 + ... + 32461776.

It is an arithmetic number, because the mean of its divisors is an integer number (325324984320).

Almost surely, 2^{12101121000111} is an apocalyptic number.

12101121000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101121000111 is a deficient number, since it is larger than the sum of its proper divisors (8719677996369).

12101121000111 is a wasteful number, since it uses less digits than its factorization.

12101121000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64548676.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12101121000111 its reverse (11100012110121), we get a palindrome (23201133110232).

The spelling of 12101121000111 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, one hundred eleven", and thus it is an aban number.