111102001000110 has 256 divisors, whose sum is σ = 299098817740800. Its totient is φ = 29346065620992.

The previous prime is 111102001000051. The next prime is 111102001000141. The reversal of 111102001000110 is 11000100201111.

111102001000110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111102001000092 and 111102001000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17389572796 + ... + 17389579184.

It is an arithmetic number, because the mean of its divisors is an integer number (1168354756800).

Almost surely, 2^{111102001000110} is an apocalyptic number.

111102001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111102001000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149549408870400).

111102001000110 is an abundant number, since it is smaller than the sum of its proper divisors (187996816740690).

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

111102001000110 is a wasteful number, since it uses less digits than its factorization.

111102001000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111102001000110 its reverse (11000100201111), we get a palindrome (122102101201221).

The spelling of 111102001000110 in words is "one hundred eleven trillion, one hundred two billion, one million, one hundred ten", and thus it is an aban number.