100001101011 has 64 divisors (see below), whose sum is σ = 161241808896. Its totient is φ = 53895600000.

The previous prime is 100001101009. The next prime is 100001101027. The reversal of 100001101011 is 110101100001.

It is not a de Polignac number, because 100001101011 - 2¹ = 100001101009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12240450 + ... + 12248616.

It is an arithmetic number, because the mean of its divisors is an integer number (2519403264).

Almost surely, 2^100001101011 is an apocalyptic number.

100001101011 is a deficient number, since it is larger than the sum of its proper divisors (61240707885).

100001101011 is a wasteful number, since it uses less digits than its factorization.

100001101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001101011 its reverse (110101100001), we get a palindrome (210102201012).

The spelling of 100001101011 in words is "one hundred billion, one million, one hundred one thousand, eleven".