100100111111 has 32 divisors (see below), whose sum is σ = 134688572928. Its totient is φ = 71845568640.

The previous prime is 100100111051. The next prime is 100100111143. The reversal of 100100111111 is 111111001001.

It is a cyclic number.

It is not a de Polignac number, because 100100111111 - 2¹⁸ = 100099848967 is a prime.

100100111111 is a modest number, since divided by 111111 gives 100100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360401 + ... + 574533.

It is an arithmetic number, because the mean of its divisors is an integer number (4209017904).

Almost surely, 2^100100111111 is an apocalyptic number.

100100111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100111111 is a deficient number, since it is larger than the sum of its proper divisors (34588461817).

100100111111 is a wasteful number, since it uses less digits than its factorization.

100100111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214631.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100100111111 its reverse (111111001001), we get a palindrome (211211112112).

It can be divided in two parts, 1001001 and 11111, that multiplied together give a palindrome (11122122111).

The spelling of 100100111111 in words is "one hundred billion, one hundred million, one hundred eleven thousand, one hundred eleven".