100100100111 has 32 divisors (see below), whose sum is σ = 154198080000. Its totient is φ = 57085793280.

The previous prime is 100100100109. The next prime is 100100100143. The reversal of 100100100111 is 111001001001.

It is not a de Polignac number, because 100100100111 - 2¹ = 100100100109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100161) 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 31 ways as a sum of consecutive naturals, for example, 3012315 + ... + 3045363.

It is an arithmetic number, because the mean of its divisors is an integer number (4818690000).

Almost surely, 2^100100100111 is an apocalyptic number.

100100100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100100111 is a deficient number, since it is larger than the sum of its proper divisors (54097979889).

100100100111 is a wasteful number, since it uses less digits than its factorization.

100100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38479.

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

Adding to 100100100111 its reverse (111001001001), we get a palindrome (211101101112).

It can be divided in two parts, 1001001001 and 11, that multiplied together give a palindrome (11011011011).

The spelling of 100100100111 in words is "one hundred billion, one hundred million, one hundred thousand, one hundred eleven".