10111001110111 has 32 divisors (see below), whose sum is σ = 11809761866496. Its totient is φ = 8554742976000.

The previous prime is 10111001110079. The next prime is 10111001110121. The reversal of 10111001110111 is 11101110011101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10111001110111 - 2⁵ = 10111001110079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001110121) 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, 6203421 + ... + 7661881.

It is an arithmetic number, because the mean of its divisors is an integer number (369055058328).

Almost surely, 2^{10111001110111} is an apocalyptic number.

10111001110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111001110111 is a deficient number, since it is larger than the sum of its proper divisors (1698760756385).

10111001110111 is a wasteful number, since it uses less digits than its factorization.

10111001110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458903.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111001110111 its reverse (11101110011101), we get a palindrome (21212111121212).

It can be divided in two parts, 101110011101 and 11, that multiplied together give a palindrome (1112210122111).

The spelling of 10111001110111 in words is "ten trillion, one hundred eleven billion, one million, one hundred ten thousand, one hundred eleven".