100100110111101 has 24 divisors (see below), whose sum is σ = 145438673702400. Its totient is φ = 66341839687200.

The previous prime is 100100110110991. The next prime is 100100110111117. The reversal of 100100110111101 is 101111011001001.

It is not a de Polignac number, because 100100110111101 - 2¹⁵ = 100100110078333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110111501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21547245 + ... + 25777586.

It is an arithmetic number, because the mean of its divisors is an integer number (6059944737600).

Almost surely, 2^{100100110111101} is an apocalyptic number.

It is an amenable number.

100100110111101 is a deficient number, since it is larger than the sum of its proper divisors (45338563591299).

100100110111101 is a wasteful number, since it uses less digits than its factorization.

100100110111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47326217 (or 47326214 counting only the distinct ones).

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

Adding to 100100110111101 its reverse (101111011001001), we get a palindrome (201211121112102).

It can be divided in two parts, 1001001 and 10111101, that multiplied together give a palindrome (10121222212101).

The spelling of 100100110111101 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred one".