100101001110011 has 16 divisors (see below), whose sum is σ = 109226988864000. Its totient is φ = 90979331258400.

The previous prime is 100101001110007. The next prime is 100101001110013. The reversal of 100101001110011 is 110011100101001.

It is a cyclic number.

It is not a de Polignac number, because 100101001110011 - 2² = 100101001110007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101001110013) 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, 2102982590 + ... + 2103030188.

It is an arithmetic number, because the mean of its divisors is an integer number (6826686804000).

Almost surely, 2^{100101001110011} is an apocalyptic number.

100101001110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101001110011 is a deficient number, since it is larger than the sum of its proper divisors (9125987753989).

100101001110011 is a wasteful number, since it uses less digits than its factorization.

100101001110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88930.

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

Adding to 100101001110011 its reverse (110011100101001), we get a palindrome (210112101211012).

It can be divided in two parts, 100101001 and 110011, that multiplied together give a palindrome (11012211221011).

The spelling of 100101001110011 in words is "one hundred trillion, one hundred one billion, one million, one hundred ten thousand, eleven".