100110011101101 has 12 divisors (see below), whose sum is σ = 144614099922240. Its totient is φ = 66735045606600.

The previous prime is 100110011101081. The next prime is 100110011101117. The reversal of 100110011101101 is 101101110011001.

It is not a de Polignac number, because 100110011101101 - 2¹¹ = 100110011099053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011101151) 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, 413355061 + ... + 413597178.

It is an arithmetic number, because the mean of its divisors is an integer number (12051174993520).

Almost surely, 2^{100110011101101} is an apocalyptic number.

It is an amenable number.

100110011101101 is a deficient number, since it is larger than the sum of its proper divisors (44504088821139).

100110011101101 is a wasteful number, since it uses less digits than its factorization.

100110011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826965696 (or 826965693 counting only the distinct ones).

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

Adding to 100110011101101 its reverse (101101110011001), we get a palindrome (201211121112102).

The spelling of 100110011101101 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred one thousand, one hundred one".