110110121221080 has 128 divisors (see below), whose sum is σ = 332405961753600. Its totient is φ = 29178304645632.

The previous prime is 110110121221063. The next prime is 110110121221081. The reversal of 110110121221080 is 80122121011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110121221081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67591581 + ... + 69201459.

It is an arithmetic number, because the mean of its divisors is an integer number (2596921576200).

Almost surely, 2^{110110121221080} is an apocalyptic number.

110110121221080 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 110110121221080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166202980876800).

110110121221080 is an abundant number, since it is smaller than the sum of its proper divisors (222295840532520).

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

110110121221080 is a wasteful number, since it uses less digits than its factorization.

110110121221080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613473 (or 1613469 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 110110121221080 its reverse (80122121011011), we get a palindrome (190232242232091).

The spelling of 110110121221080 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty-one thousand, eighty".