100100110011 has 16 divisors (see below), whose sum is σ = 145612231680. Its totient is φ = 60661703520.

The previous prime is 100100110003. The next prime is 100100110027. The reversal of 100100110011 is 110011001001.

It is not a de Polignac number, because 100100110011 - 2³ = 100100110003 is a prime.

100100110011 is a modest number, since divided by 110011 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100100110051) 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, 299805 + ... + 538593.

It is an arithmetic number, because the mean of its divisors is an integer number (9100764480).

Almost surely, 2^100100110011 is an apocalyptic number.

100100110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100110011 is a deficient number, since it is larger than the sum of its proper divisors (45512121669).

100100110011 is a wasteful number, since it uses less digits than its factorization.

100100110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251506.

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

Adding to 100100110011 its reverse (110011001001), we get a palindrome (210111111012).

The spelling of 100100110011 in words is "one hundred billion, one hundred million, one hundred ten thousand, eleven".