100101101101 has 16 divisors (see below), whose sum is σ = 104939712000. Its totient is φ = 95303410048.

The previous prime is 100101101059. The next prime is 100101101117. The reversal of 100101101101 is 101101101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101101101 - 2¹¹ = 100101099053 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 (100101104101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21529425 + ... + 21534073.

It is an arithmetic number, because the mean of its divisors is an integer number (6558732000).

Almost surely, 2^100101101101 is an apocalyptic number.

It is an amenable number.

100101101101 is a deficient number, since it is larger than the sum of its proper divisors (4838610899).

100101101101 is a wasteful number, since it uses less digits than its factorization.

100101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101101101 its reverse (101101101001), we get a palindrome (201202202102).

It can be divided in two parts, 10010 and 1101101, that added together give a palindrome (1111111).

The spelling of 100101101101 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred one".