100011101116 has 48 divisors (see below), whose sum is σ = 196891430400. Its totient is φ = 44170230528.

The previous prime is 100011101107. The next prime is 100011101119. The reversal of 100011101116 is 611101110001.

It is a junction number, because it is equal to n+sod(n) for n = 100011101096 and 100011101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223476 + ... + 499963.

It is an arithmetic number, because the mean of its divisors is an integer number (4101904800).

Almost surely, 2^100011101116 is an apocalyptic number.

It is an amenable number.

100011101116 is a deficient number, since it is larger than the sum of its proper divisors (96880329284).

100011101116 is a wasteful number, since it uses less digits than its factorization.

100011101116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723586 (or 723584 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100011101116 its reverse (611101110001), we get a palindrome (711112211117).

The spelling of 100011101116 in words is "one hundred billion, eleven million, one hundred one thousand, one hundred sixteen".