100111001100101 has 16 divisors (see below), whose sum is σ = 106858819441584. Its totient is φ = 93461135745024.

The previous prime is 100111001100079. The next prime is 100111001100221. The reversal of 100111001100101 is 101001100111001.

It can be written as a sum of positive squares in 8 ways, for example, as 19334928122500 + 80776072977601 = 4397150^2 + 8987551^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111001100101 - 2⁶ = 100111001100037 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 (100111001100001) 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 15 ways as a sum of consecutive naturals, for example, 38033456 + ... + 40580361.

It is an arithmetic number, because the mean of its divisors is an integer number (6678676215099).

Almost surely, 2^{100111001100101} is an apocalyptic number.

It is an amenable number.

100111001100101 is a deficient number, since it is larger than the sum of its proper divisors (6747818341483).

100111001100101 is a wasteful number, since it uses less digits than its factorization.

100111001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78614440.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111001100101 its reverse (101001100111001), we get a palindrome (201112101211102).

The spelling of 100111001100101 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred thousand, one hundred one".