10011111011118 has 72 divisors (see below), whose sum is σ = 25399186160400. Its totient is φ = 2841374894400.

The previous prime is 10011111011117. The next prime is 10011111011131. The reversal of 10011111011118 is 81111011111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10011111011118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111011117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37451143 + ... + 37717506.

It is an arithmetic number, because the mean of its divisors is an integer number (352766474450).

Almost surely, 2^{10011111011118} is an apocalyptic number.

10011111011118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10011111011118 is an abundant number, since it is smaller than the sum of its proper divisors (15388075149282).

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

10011111011118 is a wasteful number, since it uses less digits than its factorization.

10011111011118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75168822 (or 75168812 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 18.

Adding to 10011111011118 its reverse (81111011111001), we get a palindrome (91122122122119).

The spelling of 10011111011118 in words is "ten trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred eighteen".