10110001110111 has 48 divisors (see below), whose sum is σ = 17415834309120. Its totient is φ = 5525748486720.

The previous prime is 10110001110109. The next prime is 10110001110127. The reversal of 10110001110111 is 11101110001101.

It is not a de Polignac number, because 10110001110111 - 2¹ = 10110001110109 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 = 10110001110093 and 10110001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110001110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41567925 + ... + 41810433.

It is an arithmetic number, because the mean of its divisors is an integer number (362829881440).

Almost surely, 2^{10110001110111} is an apocalyptic number.

10110001110111 is a deficient number, since it is larger than the sum of its proper divisors (7305833199009).

10110001110111 is a wasteful number, since it uses less digits than its factorization.

10110001110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271316 (or 271313 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10110001110111 its reverse (11101110001101), we get a palindrome (21211111111212).

The spelling of 10110001110111 in words is "ten trillion, one hundred ten billion, one million, one hundred ten thousand, one hundred eleven".