100100110001111 has 8 divisors (see below), whose sum is σ = 110738149861248. Its totient is φ = 89718408451000.

The previous prime is 100100110001057. The next prime is 100100110001167. The reversal of 100100110001111 is 111100011001001.

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 100100110001111 - 2¹⁴ = 100100109984727 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 (100100110001191) 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, 64084576685 + ... + 64084578246.

It is an arithmetic number, because the mean of its divisors is an integer number (13842268732656).

Almost surely, 2^{100100110001111} is an apocalyptic number.

100100110001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100110001111 is a deficient number, since it is larger than the sum of its proper divisors (10638039860137).

100100110001111 is a wasteful number, since it uses less digits than its factorization.

100100110001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128169155013.

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

Adding to 100100110001111 its reverse (111100011001001), we get a palindrome (211200121002112).

The spelling of 100100110001111 in words is "one hundred trillion, one hundred billion, one hundred ten million, one thousand, one hundred eleven".