100011010000011 has 8 divisors (see below), whose sum is σ = 145470560000064. Its totient is φ = 60612733333320.

The previous prime is 100011009999983. The next prime is 100011010000123. The reversal of 100011010000011 is 110000010110001.

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

It is not a de Polignac number, because 100011010000011 - 2²⁵ = 100010976445579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011010004011) 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, 1515318333301 + ... + 1515318333366.

It is an arithmetic number, because the mean of its divisors is an integer number (18183820000008).

Almost surely, 2^{100011010000011} is an apocalyptic number.

100011010000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011010000011 is a deficient number, since it is larger than the sum of its proper divisors (45459550000053).

100011010000011 is a wasteful number, since it uses less digits than its factorization.

100011010000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030636666681.

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

Adding to 100011010000011 its reverse (110000010110001), we get a palindrome (210011020110012).

It can be divided in two parts, 1000 and 11010000011, that added together give a palindrome (11010001011).

The spelling of 100011010000011 in words is "one hundred trillion, eleven billion, ten million, eleven", and thus it is an aban number.