110211200102120 has 128 divisors (see below), whose sum is σ = 268061947050240. Its totient is φ = 40539264030720.

The previous prime is 110211200102089. The next prime is 110211200102161. The reversal of 110211200102120 is 21201002112011.

It is a junction number, because it is equal to n+sod(n) for n = 110211200102095 and 110211200102104.

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, 654971837 + ... + 655140083.

It is an arithmetic number, because the mean of its divisors is an integer number (2094233961330).

Almost surely, 2^{110211200102120} is an apocalyptic number.

110211200102120 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 110211200102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134030973525120).

110211200102120 is an abundant number, since it is smaller than the sum of its proper divisors (157850746948120).

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

110211200102120 is a wasteful number, since it uses less digits than its factorization.

110211200102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173035 (or 173031 counting only the distinct ones).

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

Adding to 110211200102120 its reverse (21201002112011), we get a palindrome (131412202214131).

The spelling of 110211200102120 in words is "one hundred ten trillion, two hundred eleven billion, two hundred million, one hundred two thousand, one hundred twenty".