100000001100101 has 8 divisors (see below), whose sum is σ = 104462369328384. Its totient is φ = 95547178046320.

The previous prime is 100000001100061. The next prime is 100000001100143. The reversal of 100000001100101 is 101001100000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100000001100101 - 2⁶ = 100000001100037 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 (100000001100301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2386272206 + ... + 2386314111.

It is an arithmetic number, because the mean of its divisors is an integer number (13057796166048).

Almost surely, 2^{100000001100101} is an apocalyptic number.

It is an amenable number.

100000001100101 is a deficient number, since it is larger than the sum of its proper divisors (4462368228283).

100000001100101 is an equidigital number, since it uses as much as digits as its factorization.

100000001100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772587251.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000001100101 its reverse (101001100000001), we get a palindrome (201001101100102).

The spelling of 100000001100101 in words is "one hundred trillion, one million, one hundred thousand, one hundred one".