101110111000111 has 8 divisors (see below), whose sum is σ = 101221998234624. Its totient is φ = 100998225739320.

The previous prime is 101110111000081. The next prime is 101110111000127. The reversal of 101110111000111 is 111000111011101.

It is a happy number.

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 101110111000111 - 2¹¹ = 101110110998063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110111700111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117643806 + ... + 118500148.

It is an arithmetic number, because the mean of its divisors is an integer number (12652749779328).

Almost surely, 2^{101110111000111} is an apocalyptic number.

101110111000111 is a deficient number, since it is larger than the sum of its proper divisors (111887234513).

101110111000111 is an equidigital number, since it uses as much as digits as its factorization.

101110111000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986861.

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

Adding to 101110111000111 its reverse (111000111011101), we get a palindrome (212110222011212).

The spelling of 101110111000111 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.