110121004131320 has 256 divisors, whose sum is σ = 321298623959040. Its totient is φ = 33012545753088.

The previous prime is 110121004131317. The next prime is 110121004131361. The reversal of 110121004131320 is 23131400121011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110121004131292 and 110121004131301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237972 + ... + 15008348.

It is an arithmetic number, because the mean of its divisors is an integer number (1255072749840).

Almost surely, 2^{110121004131320} is an apocalyptic number.

110121004131320 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 110121004131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160649311979520).

110121004131320 is an abundant number, since it is smaller than the sum of its proper divisors (211177619827720).

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

110121004131320 is a wasteful number, since it uses less digits than its factorization.

110121004131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12770534 (or 12770530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 110121004131320 its reverse (23131400121011), we get a palindrome (133252404252331).

The spelling of 110121004131320 in words is "one hundred ten trillion, one hundred twenty-one billion, four million, one hundred thirty-one thousand, three hundred twenty".