100101111110111 has 8 divisors (see below), whose sum is σ = 100434813878784. Its totient is φ = 99767457955800.

The previous prime is 100101111109991. The next prime is 100101111110149. The reversal of 100101111110111 is 111011111101001.

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 100101111110111 - 2²² = 100101106915807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101111110092 and 100101111110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111110171) 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, 8359505 + ... + 16434218.

It is an arithmetic number, because the mean of its divisors is an integer number (12554351734848).

Almost surely, 2^{100101111110111} is an apocalyptic number.

100101111110111 is a deficient number, since it is larger than the sum of its proper divisors (333702768673).

100101111110111 is a wasteful number, since it uses less digits than its factorization.

100101111110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24807181.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100101111110111 its reverse (111011111101001), we get a palindrome (211112222211112).

The spelling of 100101111110111 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".