110001201220000 has 120 divisors (see below), whose sum is σ = 271422496901556. Its totient is φ = 43869912576000.

The previous prime is 110001201219983. The next prime is 110001201220033. The reversal of 110001201220000 is 22102100011.

It can be written as a sum of positive squares in 10 ways, for example, as 42003827633296 + 67997373586704 = 6481036^2 + 8246052^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1420327 + ... + 14900326.

Almost surely, 2^{110001201220000} is an apocalyptic number.

110001201220000 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 110001201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135711248450778).

110001201220000 is an abundant number, since it is smaller than the sum of its proper divisors (161421295681556).

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

110001201220000 is an equidigital number, since it uses as much as digits as its factorization.

110001201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321020 (or 16320997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110001201220000 its reverse (22102100011), we get a palindrome (110023303320011).

The spelling of 110001201220000 in words is "one hundred ten trillion, one billion, two hundred one million, two hundred twenty thousand".