100111101110111 has 32 divisors (see below), whose sum is σ = 123519857556480. Its totient is φ = 79012008036864.

The previous prime is 100111101110089. The next prime is 100111101110117. The reversal of 100111101110111 is 111011101111001.

It is a de Polignac number, because none of the positive numbers 2^k-100111101110111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111101110092 and 100111101110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101110117) 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 31 ways as a sum of consecutive naturals, for example, 227647880 + ... + 228087218.

It is an arithmetic number, because the mean of its divisors is an integer number (3859995548640).

Almost surely, 2^{100111101110111} is an apocalyptic number.

100111101110111 is a deficient number, since it is larger than the sum of its proper divisors (23408756446369).

100111101110111 is a wasteful number, since it uses less digits than its factorization.

100111101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445575.

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

Adding to 100111101110111 its reverse (111011101111001), we get a palindrome (211122202221112).

It can be divided in two parts, 1001 and 11101110111, that multiplied together give a palindrome (11112211221111).

The spelling of 100111101110111 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred eleven".