110201010221200 has 60 divisors (see below), whose sum is σ = 264764186306020. Its totient is φ = 44079361966080.

The previous prime is 110201010221191. The next prime is 110201010221219. The reversal of 110201010221200 is 2122010102011.

It can be written as a sum of positive squares in 6 ways, for example, as 11224617299856 + 98976392921344 = 3350316^2 + 9948688^2 .

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 11 ways as a sum of consecutive naturals, for example, 13795456 + ... + 20266144.

Almost surely, 2^{110201010221200} is an apocalyptic number.

110201010221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201010221200 is an abundant number, since it is smaller than the sum of its proper divisors (154563176084820).

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

110201010221200 is a wasteful number, since it uses less digits than its factorization.

110201010221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513284 (or 6513273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110201010221200 its reverse (2122010102011), we get a palindrome (112323020323211).

The spelling of 110201010221200 in words is "one hundred ten trillion, two hundred one billion, ten million, two hundred twenty-one thousand, two hundred".