111101001100000 has 144 divisors (see below), whose sum is σ = 275814575393616. Its totient is φ = 44047118080000.

The previous prime is 111101001099997. The next prime is 111101001100003. The reversal of 111101001100000 is 1100101111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111101001099997) and next prime (111101001100003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101001100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6384027 + ... + 16215973.

It is an arithmetic number, because the mean of its divisors is an integer number (1915378995789).

Almost surely, 2^{111101001100000} is an apocalyptic number.

111101001100000 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 111101001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137907287696808).

111101001100000 is an abundant number, since it is smaller than the sum of its proper divisors (164713574293616).

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

111101001100000 is an frugal number, since it uses more digits than its factorization.

111101001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832095 (or 9832067 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111101001100000 its reverse (1100101111), we get a palindrome (111102101201111).

The spelling of 111101001100000 in words is "one hundred eleven trillion, one hundred one billion, one million, one hundred thousand".