100111100101111 has 4 divisors (see below), whose sum is σ = 109212109201224. Its totient is φ = 91010091001000.

The previous prime is 100111100101039. The next prime is 100111100101127. The reversal of 100111100101111 is 111101001111001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100111100101111 - 2⁷ = 100111100100983 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 (100111100104111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550504550040 + ... + 4550504550061.

It is an arithmetic number, because the mean of its divisors is an integer number (27303027300306).

Almost surely, 2^{100111100101111} is an apocalyptic number.

100111100101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111100101111 is a deficient number, since it is larger than the sum of its proper divisors (9101009100113).

100111100101111 is an equidigital number, since it uses as much as digits as its factorization.

100111100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101009100112.

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

Adding to 100111100101111 its reverse (111101001111001), we get a palindrome (211212101212112).

The spelling of 100111100101111 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred eleven".