100100011001111 has 12 divisors (see below), whose sum is σ = 110032102425336. Its totient is φ = 90996025515120.

The previous prime is 100100011001099. The next prime is 100100011001191. The reversal of 100100011001111 is 111100110001001.

It is a de Polignac number, because none of the positive numbers 2^k-100100011001111 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 (100100011001191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15334661 + ... + 20865086.

It is an arithmetic number, because the mean of its divisors is an integer number (9169341868778).

Almost surely, 2^{100100011001111} is an apocalyptic number.

100100011001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100011001111 is a deficient number, since it is larger than the sum of its proper divisors (9932091424225).

100100011001111 is a wasteful number, since it uses less digits than its factorization.

100100011001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36222622 (or 36222611 counting only the distinct ones).

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

Adding to 100100011001111 its reverse (111100110001001), we get a palindrome (211200121002112).

The spelling of 100100011001111 in words is "one hundred trillion, one hundred billion, eleven million, one thousand, one hundred eleven".