100011101101101 has 12 divisors (see below), whose sum is σ = 144460917039712. Its totient is φ = 66673865398536.

The previous prime is 100011101101073. The next prime is 100011101101117. The reversal of 100011101101101 is 101101101110001.

It is not a de Polignac number, because 100011101101101 - 2¹⁰ = 100011101100077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011101101151) 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, 13666531 + ... + 19667136.

Almost surely, 2^{100011101101101} is an apocalyptic number.

It is an amenable number.

100011101101101 is a deficient number, since it is larger than the sum of its proper divisors (44449815938611).

100011101101101 is a wasteful number, since it uses less digits than its factorization.

100011101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33667040 (or 33667037 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100011101101101 its reverse (101101101110001), we get a palindrome (201112202211102).

The spelling of 100011101101101 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred one".