110200122011120 has 320 divisors, whose sum is σ = 277331221094400. Its totient is φ = 40628846039040.

The previous prime is 110200122011101. The next prime is 110200122011153. The reversal of 110200122011120 is 21110221002011.

It is a junction number, because it is equal to n+sod(n) for n = 110200122011095 and 110200122011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779485597 + ... + 1779547523.

It is an arithmetic number, because the mean of its divisors is an integer number (866660065920).

Almost surely, 2^{110200122011120} is an apocalyptic number.

110200122011120 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 110200122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138665610547200).

110200122011120 is an abundant number, since it is smaller than the sum of its proper divisors (167131099083280).

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

110200122011120 is a wasteful number, since it uses less digits than its factorization.

110200122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62336 (or 62330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110200122011120 its reverse (21110221002011), we get a palindrome (131310343013131).

The spelling of 110200122011120 in words is "one hundred ten trillion, two hundred billion, one hundred twenty-two million, eleven thousand, one hundred twenty".