110121201011120 has 160 divisors (see below), whose sum is σ = 276537934397760. Its totient is φ = 40540593623040.

The previous prime is 110121201011071. The next prime is 110121201011161. The reversal of 110121201011120 is 21110102121011.

It is a super-3 number, since 3×110121201011120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110121201011095 and 110121201011104.

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, 783225467 + ... + 783366053.

It is an arithmetic number, because the mean of its divisors is an integer number (1728362089986).

Almost surely, 2^{110121201011120} is an apocalyptic number.

110121201011120 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 110121201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138268967198880).

110121201011120 is an abundant number, since it is smaller than the sum of its proper divisors (166416733386640).

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

110121201011120 is a wasteful number, since it uses less digits than its factorization.

110121201011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142823 (or 142817 counting only the distinct ones).

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

Adding to 110121201011120 its reverse (21110102121011), we get a palindrome (131231303132131).

The spelling of 110121201011120 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, one hundred twenty".