100100011011011 has 8 divisors (see below), whose sum is σ = 109810067947200. Its totient is φ = 90491630064040.

The previous prime is 100100011011001. The next prime is 100100011011041. The reversal of 100100011011011 is 110110110001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100011011011 - 2¹⁰ = 100100011009987 is a prime.

It is a Duffinian number.

100100011011011 is a modest number, since divided by 11011011 gives 100100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100100011011011.

It is not an unprimeable number, because it can be changed into a prime (100100011011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25418995241 + ... + 25418999178.

It is an arithmetic number, because the mean of its divisors is an integer number (13726258493400).

Almost surely, 2^{100100011011011} is an apocalyptic number.

100100011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100011011011 is a deficient number, since it is larger than the sum of its proper divisors (9710056936189).

100100011011011 is a wasteful number, since it uses less digits than its factorization.

100100011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50837994609.

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

Adding to 100100011011011 its reverse (110110110001001), we get a palindrome (210210121012012).

The spelling of 100100011011011 in words is "one hundred trillion, one hundred billion, eleven million, eleven thousand, eleven".