111101001100040 has 128 divisors (see below), whose sum is σ = 286665640047360. Its totient is φ = 37961513201664.

The previous prime is 111101001100039. The next prime is 111101001100049. The reversal of 111101001100040 is 40001100101111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111101001099994 and 111101001100030.

It is not an unprimeable number, because it can be changed into a prime (111101001100049) 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 31 ways as a sum of consecutive naturals, for example, 394852844 + ... + 395134116.

It is an arithmetic number, because the mean of its divisors is an integer number (2239575312870).

Almost surely, 2^{111101001100040} is an apocalyptic number.

111101001100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111101001100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143332820023680).

111101001100040 is an abundant number, since it is smaller than the sum of its proper divisors (175564638947320).

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

111101001100040 is a wasteful number, since it uses less digits than its factorization.

111101001100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286111 (or 286107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111101001100040 its reverse (40001100101111), we get a palindrome (151102101201151).

The spelling of 111101001100040 in words is "one hundred eleven trillion, one hundred one billion, one million, one hundred thousand, forty".