100110001100101 has 4 divisors (see below), whose sum is σ = 100123498478572. Its totient is φ = 100096503721632.

The previous prime is 100110001100093. The next prime is 100110001100141. The reversal of 100110001100101 is 101001100011001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 88910095516225 + 11199905583876 = 9429215^2 + 3346626^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110001100101 - 2³ = 100110001100093 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 (100110001100141) 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 3 ways as a sum of consecutive naturals, for example, 6748678110 + ... + 6748692943.

It is an arithmetic number, because the mean of its divisors is an integer number (25030874619643).

Almost surely, 2^{100110001100101} is an apocalyptic number.

It is an amenable number.

100110001100101 is a deficient number, since it is larger than the sum of its proper divisors (13497378471).

100110001100101 is an equidigital number, since it uses as much as digits as its factorization.

100110001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13497378470.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110001100101 its reverse (101001100011001), we get a palindrome (201111101111102).

The spelling of 100110001100101 in words is "one hundred trillion, one hundred ten billion, one million, one hundred thousand, one hundred one".