110110211211200 has 336 divisors, whose sum is σ = 274324553712000. Its totient is φ = 43498497638400.

The previous prime is 110110211211197. The next prime is 110110211211211. The reversal of 110110211211200 is 2112112011011.

It is a super-2 number, since 2×110110211211200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23684706476 + ... + 23684711124.

Almost surely, 2^{110110211211200} is an apocalyptic number.

110110211211200 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 110110211211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137162276856000).

110110211211200 is an abundant number, since it is smaller than the sum of its proper divisors (164214342500800).

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

110110211211200 is a wasteful number, since it uses less digits than its factorization.

110110211211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5393 counting only the distinct ones).

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

Adding to 110110211211200 its reverse (2112112011011), we get a palindrome (112222323222211).

It can be divided in two parts, 11011021 and 1211200, that added together give a palindrome (12222221).

The spelling of 110110211211200 in words is "one hundred ten trillion, one hundred ten billion, two hundred eleven million, two hundred eleven thousand, two hundred".