110121000342144 has 128 divisors (see below), whose sum is σ = 323863322734080. Its totient is φ = 32871940316160.

The previous prime is 110121000342091. The next prime is 110121000342191. The reversal of 110121000342144 is 441243000121011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-5 number, since 5×110121000342144⁵ (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 194271564 + ... + 194837579.

It is an arithmetic number, because the mean of its divisors is an integer number (2530182208860).

Almost surely, 2^{110121000342144} is an apocalyptic number.

It is an amenable number.

110121000342144 is an abundant number, since it is smaller than the sum of its proper divisors (213742322391936).

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

110121000342144 is a wasteful number, since it uses less digits than its factorization.

110121000342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389109238 (or 389109226 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 110121000342144 its reverse (441243000121011), we get a palindrome (551364000463155).

The spelling of 110121000342144 in words is "one hundred ten trillion, one hundred twenty-one billion, three hundred forty-two thousand, one hundred forty-four".