100110101100011 has 16 divisors (see below), whose sum is σ = 101712140496000. Its totient is φ = 98511247916928.

The previous prime is 100110101099989. The next prime is 100110101100017. The reversal of 100110101100011 is 110001101011001.

It is a cyclic number.

It is not a de Polignac number, because 100110101100011 - 2⁶ = 100110101099947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110101100017) 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, 1146706040 + ... + 1146793338.

It is an arithmetic number, because the mean of its divisors is an integer number (6357008781000).

Almost surely, 2^{100110101100011} is an apocalyptic number.

100110101100011 is a deficient number, since it is larger than the sum of its proper divisors (1602039395989).

100110101100011 is a wasteful number, since it uses less digits than its factorization.

100110101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105338.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100110101100011 its reverse (110001101011001), we get a palindrome (210111202111012).

The spelling of 100110101100011 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred thousand, eleven".