110221030211200 has 96 divisors (see below), whose sum is σ = 272284512502860. Its totient is φ = 44087744348160.

The previous prime is 110221030211129. The next prime is 110221030211209. The reversal of 110221030211200 is 2112030122011.

It can be written as a sum of positive squares in 6 ways, for example, as 26703510991936 + 83517519219264 = 5167544^2 + 9138792^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (110221030211209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 247960344 + ... + 248404456.

Almost surely, 2^{110221030211200} is an apocalyptic number.

110221030211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221030211200 is an abundant number, since it is smaller than the sum of its proper divisors (162063482291660).

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

110221030211200 is an equidigital number, since it uses as much as digits as its factorization.

110221030211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521694 (or 521677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110221030211200 its reverse (2112030122011), we get a palindrome (112333060333211).

The spelling of 110221030211200 in words is "one hundred ten trillion, two hundred twenty-one billion, thirty million, two hundred eleven thousand, two hundred".