110121334000000 has 224 divisors, whose sum is σ = 278317661707080. Its totient is φ = 43391040000000.

The previous prime is 110121333999983. The next prime is 110121334000031. The reversal of 110121334000000 is 433121011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 133589100 + ... + 134410900.

Almost surely, 2^{110121334000000} is an apocalyptic number.

110121334000000 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 110121334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139158830853540).

110121334000000 is an abundant number, since it is smaller than the sum of its proper divisors (168196327707080).

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

110121334000000 is an frugal number, since it uses more digits than its factorization.

110121334000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821912 (or 821875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110121334000000 its reverse (433121011), we get a palindrome (110121767121011).

The spelling of 110121334000000 in words is "one hundred ten trillion, one hundred twenty-one billion, three hundred thirty-four million", and thus it is an aban number.