100100011011 has 128 divisors (see below), whose sum is σ = 185205866496. Its totient is φ = 46407790080.

The previous prime is 100100010919. The next prime is 100100011021. The reversal of 100100011011 is 110110001001.

It is not a de Polignac number, because 100100011011 - 2²⁵ = 100066456579 is a prime.

100100011011 is a modest number, since divided by 11011 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100100011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18108330 + ... + 18113856.

It is an arithmetic number, because the mean of its divisors is an integer number (1446920832).

Almost surely, 2^100100011011 is an apocalyptic number.

100100011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100011011 is a deficient number, since it is larger than the sum of its proper divisors (85105855485).

100100011011 is a wasteful number, since it uses less digits than its factorization.

100100011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761.

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

Adding to 100100011011 its reverse (110110001001), we get a palindrome (210210012012).

The spelling of 100100011011 in words is "one hundred billion, one hundred million, eleven thousand, eleven".