100011000110011 has 16 divisors (see below), whose sum is σ = 101962901808000. Its totient is φ = 98076327897600.

The previous prime is 100011000109963. The next prime is 100011000110027. The reversal of 100011000110011 is 110011000110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011000110011 - 2²⁵ = 100010966555579 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011000109976 and 100011000110003.

It is not an unprimeable number, because it can be changed into a prime (100011000110071) 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, 198926031 + ... + 199428151.

It is an arithmetic number, because the mean of its divisors is an integer number (6372681363000).

Almost surely, 2^{100011000110011} is an apocalyptic number.

100011000110011 is a deficient number, since it is larger than the sum of its proper divisors (1951901697989).

100011000110011 is a wasteful number, since it uses less digits than its factorization.

100011000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519270.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011000110011 its reverse (110011000110001), we get a palindrome (210022000220012).

The spelling of 100011000110011 in words is "one hundred trillion, eleven billion, one hundred ten thousand, eleven".