10111111110111 has 32 divisors (see below), whose sum is σ = 14717269071360. Its totient is φ = 6123698380800.

The previous prime is 10111111110071. The next prime is 10111111110137. The reversal of 10111111110111 is 11101111111101.

It is not a de Polignac number, because 10111111110111 - 2³⁰ = 10110037368287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111120111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304617526 + ... + 304650716.

It is an arithmetic number, because the mean of its divisors is an integer number (459914658480).

Almost surely, 2^{10111111110111} is an apocalyptic number.

10111111110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111111110111 is a deficient number, since it is larger than the sum of its proper divisors (4606157961249).

10111111110111 is a wasteful number, since it uses less digits than its factorization.

10111111110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39327.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 10111111110111 its reverse (11101111111101), we get a palindrome (21212222221212).

It can be divided in two parts, 101111111101 and 11, that multiplied together give a palindrome (1112222222111).

The spelling of 10111111110111 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".