101111111110111 has 8 divisors (see below), whose sum is σ = 105960067181280. Its totient is φ = 96299890106112.

The previous prime is 101111111110003. The next prime is 101111111110127. The reversal of 101111111110111 is 111011111111101.

It is a happy number.

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

It is not a de Polignac number, because 101111111110111 - 2³³ = 101102521175519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111111110091 and 101111111110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9433761306 + ... + 9433772023.

It is an arithmetic number, because the mean of its divisors is an integer number (13245008397660).

Almost surely, 2^{101111111110111} is an apocalyptic number.

101111111110111 is a deficient number, since it is larger than the sum of its proper divisors (4848956071169).

101111111110111 is a wasteful number, since it uses less digits than its factorization.

101111111110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18867533585.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 101111111110111 its reverse (111011111111101), we get a palindrome (212122222221212).

It can be divided in two parts, 1011111111101 and 11, that multiplied together give a palindrome (11122222222111).

The spelling of 101111111110111 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".