110211200101200 has 480 divisors, whose sum is σ = 386609310277632. Its totient is φ = 26615907584000.

The previous prime is 110211200101061. The next prime is 110211200101241. The reversal of 110211200101200 is 2101002112011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7705453249 + ... + 7705467551.

Almost surely, 2^{110211200101200} is an apocalyptic number.

110211200101200 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 110211200101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193304655138816).

110211200101200 is an abundant number, since it is smaller than the sum of its proper divisors (276398110176432).

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

110211200101200 is a wasteful number, since it uses less digits than its factorization.

110211200101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16523 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110211200101200 its reverse (2101002112011), we get a palindrome (112312202213211).

The spelling of 110211200101200 in words is "one hundred ten trillion, two hundred eleven billion, two hundred million, one hundred one thousand, two hundred".