100000001101 has 48 divisors (see below), whose sum is σ = 136837669248. Its totient is φ = 71836329600.

The previous prime is 100000001099. The next prime is 100000001111. The reversal of 100000001101 is 101100000001.

It is not a de Polignac number, because 100000001101 - 2¹ = 100000001099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000001111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5744056 + ... + 5761438.

It is an arithmetic number, because the mean of its divisors is an integer number (2850784776).

Almost surely, 2^100000001101 is an apocalyptic number.

100000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000001101 is a deficient number, since it is larger than the sum of its proper divisors (36837668147).

100000001101 is a wasteful number, since it uses less digits than its factorization.

100000001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242 (or 18235 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000001101 its reverse (101100000001), we get a palindrome (201100001102).

It can be divided in two parts, 100000001 and 101, that multiplied together give a palindrome (10100000101).

The spelling of 100000001101 in words is "one hundred billion, one thousand, one hundred one".