110100002112000 has 640 divisors, whose sum is σ = 407142080167680. Its totient is φ = 29330093260800.

The previous prime is 110100002111999. The next prime is 110100002112019. The reversal of 110100002112000 is 211200001011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1722784047 + ... + 1722847953.

It is an arithmetic number, because the mean of its divisors is an integer number (636159500262).

Almost surely, 2^{110100002112000} is an apocalyptic number.

110100002112000 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 110100002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203571040083840).

110100002112000 is an abundant number, since it is smaller than the sum of its proper divisors (297042078055680).

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

110100002112000 is an frugal number, since it uses more digits than its factorization.

110100002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64946 (or 64914 counting only the distinct ones).

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

Adding to 110100002112000 its reverse (211200001011), we get a palindrome (110311202113011).

The spelling of 110100002112000 in words is "one hundred ten trillion, one hundred billion, two million, one hundred twelve thousand".