110112210000 has 500 divisors, whose sum is σ = 428918492772. Its totient is φ = 27101952000.

The previous prime is 110112209989. The next prime is 110112210037. The reversal of 110112210000 is 12211011.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 80821941264 + 29290268736 = 284292^2 + 171144^2 .

It is a tau number, because it is divible by the number of its divisors (500).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10524772 + ... + 10535228.

Almost surely, 2^110112210000 is an apocalyptic number.

110112210000 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 110112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214459246386).

110112210000 is an abundant number, since it is smaller than the sum of its proper divisors (318806282772).

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

110112210000 is a wasteful number, since it uses less digits than its factorization.

110112210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110112210000 its reverse (12211011), we get a palindrome (110124421011).

The spelling of 110112210000 in words is "one hundred ten billion, one hundred twelve million, two hundred ten thousand".