100111001110110 has 40 divisors (see below), whose sum is σ = 269187358542696. Its totient is φ = 26696266962480.

The previous prime is 100111001110103. The next prime is 100111001110187. The reversal of 100111001110110 is 11011100111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111001110092 and 100111001110101.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 61796913456 + ... + 61796915075.

Almost surely, 2^{100111001110110} is an apocalyptic number.

100111001110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111001110110 is an abundant number, since it is smaller than the sum of its proper divisors (169076357432586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111001110110 is a wasteful number, since it uses less digits than its factorization.

100111001110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123593828550 (or 123593828541 counting only the distinct ones).

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

Adding to 100111001110110 its reverse (11011100111001), we get a palindrome (111122101221111).

The spelling of 100111001110110 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred ten thousand, one hundred ten".