100500110011 has 16 divisors (see below), whose sum is σ = 117314463744. Its totient is φ = 84300475104.

The previous prime is 100500110003. The next prime is 100500110089. The reversal of 100500110011 is 110011005001.

It is a cyclic number.

It is not a de Polignac number, because 100500110011 - 2³ = 100500110003 is a prime.

It is a super-2 number, since 2×100500110011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

100500110011 is a modest number, since divided by 110011 gives 1005 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100500110011.

It is not an unprimeable number, because it can be changed into a prime (100500110411) 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 15 ways as a sum of consecutive naturals, for example, 5710221 + ... + 5727793.

It is an arithmetic number, because the mean of its divisors is an integer number (7332153984).

Almost surely, 2^100500110011 is an apocalyptic number.

100500110011 is a deficient number, since it is larger than the sum of its proper divisors (16814353733).

100500110011 is a wasteful number, since it uses less digits than its factorization.

100500110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35010.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 100500110011 its reverse (110011005001), we get a palindrome (210511115012).

The spelling of 100500110011 in words is "one hundred billion, five hundred million, one hundred ten thousand, eleven".