100110110100111 has 6 divisors (see below), whose sum is σ = 144603492366840. Its totient is φ = 66740073400068.

The previous prime is 100110110100103. The next prime is 100110110100127. The reversal of 100110110100111 is 111001011011001.

It is not a de Polignac number, because 100110110100111 - 2³ = 100110110100103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123345566679 = 100110110100111 / (1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100110110100093 and 100110110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110110100811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561672783331 + ... + 5561672783348.

It is an arithmetic number, because the mean of its divisors is an integer number (24100582061140).

Almost surely, 2^{100110110100111} is an apocalyptic number.

100110110100111 is a deficient number, since it is larger than the sum of its proper divisors (44493382266729).

100110110100111 is a wasteful number, since it uses less digits than its factorization.

100110110100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123345566685 (or 11123345566682 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110110100111 its reverse (111001011011001), we get a palindrome (211111121111112).

The spelling of 100110110100111 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred eleven".