110102120000 has 140 divisors (see below), whose sum is σ = 275730734796. Its totient is φ = 43603200000.

The previous prime is 110102119949. The next prime is 110102120033. The reversal of 110102120000 is 21201011.

110102120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 53187429376 + 56914690624 = 230624^2 + 238568^2 .

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 110102120000.

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, 4026374 + ... + 4053626.

Almost surely, 2^110102120000 is an apocalyptic number.

110102120000 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 110102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137865367398).

110102120000 is an abundant number, since it is smaller than the sum of its proper divisors (165628614796).

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

110102120000 is an equidigital number, since it uses as much as digits as its factorization.

110102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27386 (or 27361 counting only the distinct ones).

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

Adding to 110102120000 its reverse (21201011), we get a palindrome (110123321011).

The spelling of 110102120000 in words is "one hundred ten billion, one hundred two million, one hundred twenty thousand".