110121120101120 has 144 divisors (see below), whose sum is σ = 269163045168192. Its totient is φ = 43151145123840.

The previous prime is 110121120101101. The next prime is 110121120101147. The reversal of 110121120101120 is 21101021121011.

It is a super-2 number, since 2×110121120101120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110121120101095 and 110121120101104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43056605 + ... + 45542435.

It is an arithmetic number, because the mean of its divisors is an integer number (1869187813668).

Almost surely, 2^{110121120101120} is an apocalyptic number.

110121120101120 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 110121120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134581522584096).

110121120101120 is an abundant number, since it is smaller than the sum of its proper divisors (159041925067072).

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

110121120101120 is an equidigital number, since it uses as much as digits as its factorization.

110121120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486558 (or 2486544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110121120101120 its reverse (21101021121011), we get a palindrome (131222141222131).

The spelling of 110121120101120 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred one thousand, one hundred twenty".