100010011000011 has 16 divisors (see below), whose sum is σ = 152396360793600. Its totient is φ = 57148520131008.

The previous prime is 100010010999967. The next prime is 100010011000073. The reversal of 100010011000011 is 110000110010001.

It is not a de Polignac number, because 100010011000011 - 2¹³ = 100010010991819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010011010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27747330 + ... + 31143768.

It is an arithmetic number, because the mean of its divisors is an integer number (9524772549600).

Almost surely, 2^{100010011000011} is an apocalyptic number.

100010011000011 is a deficient number, since it is larger than the sum of its proper divisors (52386349793589).

100010011000011 is a wasteful number, since it uses less digits than its factorization.

100010011000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798618.

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

Adding to 100010011000011 its reverse (110000110010001), we get a palindrome (210010121010012).

The spelling of 100010011000011 in words is "one hundred trillion, ten billion, eleven million, eleven", and thus it is an aban number.