110021120000 has 260 divisors, whose sum is σ = 300001731216. Its totient is φ = 39997440000.

The previous prime is 110021119993. The next prime is 110021120089. The reversal of 110021120000 is 21120011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110021120000.

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 19 ways as a sum of consecutive naturals, for example, 28158047 + ... + 28161953.

Almost surely, 2^110021120000 is an apocalyptic number.

110021120000 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 110021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150000865608).

110021120000 is an abundant number, since it is smaller than the sum of its proper divisors (189980611216).

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

110021120000 is an frugal number, since it uses more digits than its factorization.

110021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110021120000 its reverse (21120011), we get a palindrome (110042240011).

It can be divided in two parts, 1100211 and 20000, that added together give a palindrome (1120211).

The spelling of 110021120000 in words is "one hundred ten billion, twenty-one million, one hundred twenty thousand".