100010000110011 has 32 divisors (see below), whose sum is σ = 136872887574528. Its totient is φ = 64938216245760.

The previous prime is 100010000109989. The next prime is 100010000110019. The reversal of 100010000110011 is 110011000010001.

It is not a de Polignac number, because 100010000110011 - 2⁵ = 100010000109979 is a prime.

100010000110011 is a modest number, since divided by 110011 gives 10001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100010000110019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2995431 + ... + 14456576.

It is an arithmetic number, because the mean of its divisors is an integer number (4277277736704).

Almost surely, 2^{100010000110011} is an apocalyptic number.

100010000110011 is a deficient number, since it is larger than the sum of its proper divisors (36862887464517).

100010000110011 is a wasteful number, since it uses less digits than its factorization.

100010000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452411.

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

Adding to 100010000110011 its reverse (110011000010001), we get a palindrome (210021000120012).

The spelling of 100010000110011 in words is "one hundred trillion, ten billion, one hundred ten thousand, eleven".