100011000100011 has 512 divisors, whose sum is σ = 208814041497600. Its totient is φ = 40819237355520.

The previous prime is 100011000099949. The next prime is 100011000100013. The reversal of 100011000100011 is 110001000110001.

It is not a de Polignac number, because 100011000100011 - 2¹⁴ = 100011000083627 is a prime.

It is a super-3 number, since 3×100011000100011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100011000100013) 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 511 ways as a sum of consecutive naturals, for example, 1902082920 + ... + 1902135498.

It is an arithmetic number, because the mean of its divisors is an integer number (407839924800).

Almost surely, 2^{100011000100011} is an apocalyptic number.

100011000100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011000100011 is an abundant number, since it is smaller than the sum of its proper divisors (108803041397589).

100011000100011 is a wasteful number, since it uses less digits than its factorization.

100011000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52739.

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

Adding to 100011000100011 its reverse (110001000110001), we get a palindrome (210012000210012).

The spelling of 100011000100011 in words is "one hundred trillion, eleven billion, one hundred thousand, eleven".