110201212113200 has 240 divisors, whose sum is σ = 298158400141056. Its totient is φ = 38837200512000.

The previous prime is 110201212113163. The next prime is 110201212113211. The reversal of 110201212113200 is 2311212102011.

It is a happy number.

It is a super-2 number, since 2×110201212113200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54866675 + ... + 56839725.

Almost surely, 2^{110201212113200} is an apocalyptic number.

110201212113200 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 110201212113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149079200070528).

110201212113200 is an abundant number, since it is smaller than the sum of its proper divisors (187957188027856).

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

110201212113200 is a wasteful number, since it uses less digits than its factorization.

110201212113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973572 (or 1973561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 110201212113200 its reverse (2311212102011), we get a palindrome (112512424215211).

The spelling of 110201212113200 in words is "one hundred ten trillion, two hundred one billion, two hundred twelve million, one hundred thirteen thousand, two hundred".