110120211110000 has 400 divisors, whose sum is σ = 328813016953344. Its totient is φ = 34779528576000.

The previous prime is 110120211109981. The next prime is 110120211110009. The reversal of 110120211110000 is 11112021011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120211110009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 443045759 + ... + 443294241.

Almost surely, 2^{110120211110000} is an apocalyptic number.

110120211110000 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 110120211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164406508476672).

110120211110000 is an abundant number, since it is smaller than the sum of its proper divisors (218692805843344).

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

110120211110000 is a wasteful number, since it uses less digits than its factorization.

110120211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249018 (or 248997 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110120211110000 its reverse (11112021011), we get a palindrome (110131323131011).

The spelling of 110120211110000 in words is "one hundred ten trillion, one hundred twenty billion, two hundred eleven million, one hundred ten thousand".