110120331103020 has 864 divisors, whose sum is σ = 415783386869760. Its totient is φ = 23464329799680.

The previous prime is 110120331102989. The next prime is 110120331103033. The reversal of 110120331103020 is 20301133021011.

110120331103020 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 20 + 331 + 10 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110120331102984 and 110120331103002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8641626769 + ... + 8641639511.

It is an arithmetic number, because the mean of its divisors is an integer number (481230771840).

Almost surely, 2^{110120331103020} is an apocalyptic number.

110120331103020 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 110120331103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207891693434880).

110120331103020 is an abundant number, since it is smaller than the sum of its proper divisors (305663055766740).

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

110120331103020 is a wasteful number, since it uses less digits than its factorization.

110120331103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110120331103020 its reverse (20301133021011), we get a palindrome (130421464124031).

The spelling of 110120331103020 in words is "one hundred ten trillion, one hundred twenty billion, three hundred thirty-one million, one hundred three thousand, twenty".