10111110101111 has 8 divisors (see below), whose sum is σ = 10550767433184. Its totient is φ = 9671456423200.

The previous prime is 10111110101047. The next prime is 10111110101129. The reversal of 10111110101111 is 11110101111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111110101111 - 2⁶ = 10111110101047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111110101092 and 10111110101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111110101611) 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 7 ways as a sum of consecutive naturals, for example, 5786345 + ... + 7328301.

It is an arithmetic number, because the mean of its divisors is an integer number (1318845929148).

Almost surely, 2^{10111110101111} is an apocalyptic number.

10111110101111 is a deficient number, since it is larger than the sum of its proper divisors (439657332073).

10111110101111 is a wasteful number, since it uses less digits than its factorization.

10111110101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827081.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111110101111 its reverse (11110101111101), we get a palindrome (21221211212212).

It can be divided in two parts, 101 and 11110101111, that multiplied together give a palindrome (1122120212211).

The spelling of 10111110101111 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, one hundred eleven".