110121111111120 has 160 divisors (see below), whose sum is σ = 341657863747200. Its totient is φ = 29341340915712.

The previous prime is 110121111111119. The next prime is 110121111111131. The reversal of 110121111111120 is 21111111121011.

It is a happy number.

It is a super-2 number, since 2×110121111111120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110121111111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631588279 + ... + 3631618601.

It is an arithmetic number, because the mean of its divisors is an integer number (2135361648420).

Almost surely, 2^{110121111111120} is an apocalyptic number.

110121111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110121111111120 is an abundant number, since it is smaller than the sum of its proper divisors (231536752636080).

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

110121111111120 is a wasteful number, since it uses less digits than its factorization.

110121111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42357 (or 42351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 110121111111120 its reverse (21111111121011), we get a palindrome (131232222232131).

The spelling of 110121111111120 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".