100111101100101 has 32 divisors (see below), whose sum is σ = 182538759845120. Its totient is φ = 52805855524032.

The previous prime is 100111101100063. The next prime is 100111101100111. The reversal of 100111101100101 is 101001101111001.

It is not a de Polignac number, because 100111101100101 - 2¹⁴ = 100111101083717 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20372626990 + ... + 20372631903.

It is an arithmetic number, because the mean of its divisors is an integer number (5704336245160).

Almost surely, 2^{100111101100101} is an apocalyptic number.

It is an amenable number.

100111101100101 is a deficient number, since it is larger than the sum of its proper divisors (82427658745019).

100111101100101 is a wasteful number, since it uses less digits than its factorization.

100111101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40745258922 (or 40745258916 counting only the distinct ones).

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

Adding to 100111101100101 its reverse (101001101111001), we get a palindrome (201112202211102).

The spelling of 100111101100101 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one hundred one".