110201201111200 has 288 divisors, whose sum is σ = 281338613176320. Its totient is φ = 42101130240000.

The previous prime is 110201201111179. The next prime is 110201201111207. The reversal of 110201201111200 is 2111102102011.

It is a happy number.

It is a super-2 number, since 2×110201201111200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110201201111207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5370156940 + ... + 5370177460.

It is an arithmetic number, because the mean of its divisors is an integer number (976870184640).

Almost surely, 2^{110201201111200} is an apocalyptic number.

110201201111200 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 110201201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140669306588160).

110201201111200 is an abundant number, since it is smaller than the sum of its proper divisors (171137412065120).

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

110201201111200 is a wasteful number, since it uses less digits than its factorization.

110201201111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23392 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110201201111200 its reverse (2111102102011), we get a palindrome (112312303213211).

The spelling of 110201201111200 in words is "one hundred ten trillion, two hundred one billion, two hundred one million, one hundred eleven thousand, two hundred".