100101100110011 has 144 divisors (see below), whose sum is σ = 140346489471552. Its totient is φ = 69470357806080.

The previous prime is 100101100110001. The next prime is 100101100110017. The reversal of 100101100110011 is 110011001101001.

It is a de Polignac number, because none of the positive numbers 2^k-100101100110011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101100110017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18492718541 + ... + 18492723953.

It is an arithmetic number, because the mean of its divisors is an integer number (974628399108).

Almost surely, 2^{100101100110011} is an apocalyptic number.

100101100110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101100110011 is a deficient number, since it is larger than the sum of its proper divisors (40245389361541).

100101100110011 is a wasteful number, since it uses less digits than its factorization.

100101100110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7470 counting only the distinct ones).

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

Adding to 100101100110011 its reverse (110011001101001), we get a palindrome (210112101211012).

The spelling of 100101100110011 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred ten thousand, eleven".