12101110011111 has 32 divisors (see below), whose sum is σ = 17785384151040. Its totient is φ = 7257747317600.

The previous prime is 12101110011077. The next prime is 12101110011131. The reversal of 12101110011111 is 11111001110121.

It is a cyclic number.

It is not a de Polignac number, because 12101110011111 - 2¹⁵ = 12101109978343 is a prime.

It is a super-3 number, since 3×12101110011111³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101110011131) 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 31 ways as a sum of consecutive naturals, for example, 2346705 + ... + 5450618.

It is an arithmetic number, because the mean of its divisors is an integer number (555793254720).

Almost surely, 2^{12101110011111} is an apocalyptic number.

12101110011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101110011111 is a deficient number, since it is larger than the sum of its proper divisors (5684274139929).

12101110011111 is a wasteful number, since it uses less digits than its factorization.

12101110011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797827.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 12101110011111 its reverse (11111001110121), we get a palindrome (23212111121232).

The spelling of 12101110011111 in words is "twelve trillion, one hundred one billion, one hundred ten million, eleven thousand, one hundred eleven".