110111210000000 has 1536 divisors, whose sum is σ = 328365249226560. Its totient is φ = 36608000000000.

The previous prime is 110111209999951. The next prime is 110111210000089. The reversal of 110111210000000 is 12111011.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 109734675586624 + 376534413376 = 10475432^2 + 613624^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1090209999950 + ... + 1090210000050.

Almost surely, 2^{110111210000000} is an apocalyptic number.

110111210000000 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 110111210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164182624613280).

110111210000000 is an abundant number, since it is smaller than the sum of its proper divisors (218254039226560).

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

110111210000000 is an frugal number, since it uses more digits than its factorization.

110111210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110111210000000 its reverse (12111011), we get a palindrome (110111222111011).

The spelling of 110111210000000 in words is "one hundred ten trillion, one hundred eleven billion, two hundred ten million", and thus it is an aban number.