100011000001101 has 12 divisors (see below), whose sum is σ = 155119102042752. Its totient is φ = 57149142857688.

The previous prime is 100011000001001. The next prime is 100011000001117. The reversal of 100011000001101 is 101100000110001.

It is not a de Polignac number, because 100011000001101 - 2¹⁰ = 100011000000077 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000001181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340173469245 + ... + 340173469538.

It is an arithmetic number, because the mean of its divisors is an integer number (12926591836896).

Almost surely, 2^{100011000001101} is an apocalyptic number.

It is an amenable number.

100011000001101 is a deficient number, since it is larger than the sum of its proper divisors (55108102041651).

100011000001101 is an equidigital number, since it uses as much as digits as its factorization.

100011000001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680346938800 (or 680346938793 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011000001101 its reverse (101100000110001), we get a palindrome (201111000111102).

The spelling of 100011000001101 in words is "one hundred trillion, eleven billion, one thousand, one hundred one".