100110111101101 has 8 divisors (see below), whose sum is σ = 101604815593344. Its totient is φ = 98615422012800.

The previous prime is 100110111101071. The next prime is 100110111101177. The reversal of 100110111101101 is 101101111011001.

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 a de Polignac number, because none of the positive numbers 2^k-100110111101101 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 (100110111101191) 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 7 ways as a sum of consecutive naturals, for example, 9591741 + ... + 17094493.

It is an arithmetic number, because the mean of its divisors is an integer number (12700601949168).

Almost surely, 2^{100110111101101} is an apocalyptic number.

It is an amenable number.

100110111101101 is a deficient number, since it is larger than the sum of its proper divisors (1494704492243).

100110111101101 is an equidigital number, since it uses as much as digits as its factorization.

100110111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701971.

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

Adding to 100110111101101 its reverse (101101111011001), we get a palindrome (201211222112102).

The spelling of 100110111101101 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred one".