1100111111016 has 64 divisors (see below), whose sum is σ = 2758204569600. Its totient is φ = 365648019648.

The previous prime is 1100111111009. The next prime is 1100111111017. The reversal of 1100111111016 is 6101111110011.

It is a junction number, because it is equal to n+sod(n) for n = 1100111110986 and 1100111111004.

It is not an unprimeable number, because it can be changed into a prime (1100111111017) 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, 14712075 + ... + 14786661.

It is an arithmetic number, because the mean of its divisors is an integer number (43096946400).

Almost surely, 2^{1100111111016} is an apocalyptic number.

It is an amenable number.

1100111111016 is an abundant number, since it is smaller than the sum of its proper divisors (1658093458584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100111111016 is a wasteful number, since it uses less digits than its factorization.

1100111111016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76358 (or 76354 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 1100111111016 its reverse (6101111110011), we get a palindrome (7201222221027).

The spelling of 1100111111016 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, sixteen".