100111011100111 has 8 divisors (see below), whose sum is σ = 110594442643200. Its totient is φ = 89857984646040.

The previous prime is 100111011100109. The next prime is 100111011100171. The reversal of 100111011100111 is 111001110111001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111011100111 - 2¹ = 100111011100109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011100171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57601271341 + ... + 57601273078.

It is an arithmetic number, because the mean of its divisors is an integer number (13824305330400).

Almost surely, 2^{100111011100111} is an apocalyptic number.

100111011100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111011100111 is a deficient number, since it is larger than the sum of its proper divisors (10483431543089).

100111011100111 is a wasteful number, since it uses less digits than its factorization.

100111011100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115202544509.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111011100111 its reverse (111001110111001), we get a palindrome (211112121211112).

It can be divided in two parts, 1001110111001 and 11, that multiplied together give a palindrome (11012211221011).

The spelling of 100111011100111 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred thousand, one hundred eleven".