10000110000111 has 48 divisors (see below), whose sum is σ = 17139018876672. Its totient is φ = 5074051530240.

The previous prime is 10000110000071. The next prime is 10000110000149. The reversal of 10000110000111 is 11100001100001.

It is not a de Polignac number, because 10000110000111 - 2¹¹ = 10000109998063 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000110000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000110000151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45652386 + ... + 45870911.

It is an arithmetic number, because the mean of its divisors is an integer number (357062893264).

Almost surely, 2^{10000110000111} is an apocalyptic number.

10000110000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000110000111 is a deficient number, since it is larger than the sum of its proper divisors (7138908876561).

10000110000111 is a wasteful number, since it uses less digits than its factorization.

10000110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91523372 (or 91523361 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10000110000111 its reverse (11100001100001), we get a palindrome (21100111100112).

It can be divided in two parts, 100001100001 and 11, that multiplied together give a palindrome (1100012100011).

The spelling of 10000110000111 in words is "ten trillion, one hundred ten million, one hundred eleven", and thus it is an aban number.