100110011110111 has 8 divisors (see below), whose sum is σ = 102222121143744. Its totient is φ = 98017921077120.

The previous prime is 100110011110049. The next prime is 100110011110121. The reversal of 100110011110111 is 111011110011001.

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 100110011110111 - 2¹⁵ = 100110011077343 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 (100110011110121) 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, 5004990055 + ... + 5005010056.

It is an arithmetic number, because the mean of its divisors is an integer number (12777765142968).

Almost surely, 2^{100110011110111} is an apocalyptic number.

100110011110111 is a deficient number, since it is larger than the sum of its proper divisors (2112110033633).

100110011110111 is a wasteful number, since it uses less digits than its factorization.

100110011110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010000321.

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

Adding to 100110011110111 its reverse (111011110011001), we get a palindrome (211121121121112).

It can be divided in two parts, 10011001 and 1110111, that multiplied together give a palindrome (11113322331111).

The spelling of 100110011110111 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred ten thousand, one hundred eleven".