110001101101120 has 224 divisors, whose sum is σ = 275601257280000. Its totient is φ = 41762190532608.

The previous prime is 110001101101109. The next prime is 110001101101181. The reversal of 110001101101120 is 21101101100011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110001101101097 and 110001101101106.

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, 167556871 + ... + 168212089.

Almost surely, 2^{110001101101120} is an apocalyptic number.

110001101101120 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 110001101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137800628640000).

110001101101120 is an abundant number, since it is smaller than the sum of its proper divisors (165600156178880).

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

110001101101120 is a wasteful number, since it uses less digits than its factorization.

110001101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655573 (or 655563 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110001101101120 its reverse (21101101100011), we get a palindrome (131102202201131).

The spelling of 110001101101120 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred one thousand, one hundred twenty".