100001101101 has 24 divisors (see below), whose sum is σ = 151285784832. Its totient is φ = 58651665600.

The previous prime is 100001101097. The next prime is 100001101133. The reversal of 100001101101 is 101101100001.

It is not a de Polignac number, because 100001101101 - 2² = 100001101097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4432056 + ... + 4454561.

It is an arithmetic number, because the mean of its divisors is an integer number (6303574368).

Almost surely, 2^100001101101 is an apocalyptic number.

100001101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001101101 is a deficient number, since it is larger than the sum of its proper divisors (51284683731).

100001101101 is a wasteful number, since it uses less digits than its factorization.

100001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886673 (or 8886662 counting only the distinct ones).

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

Adding to 100001101101 its reverse (101101100001), we get a palindrome (201102201102).

It can be divided in two parts, 100001 and 101101, that multiplied together give a palindrome (10110201101).

The spelling of 100001101101 in words is "one hundred billion, one million, one hundred one thousand, one hundred one".