110200221221200 has 240 divisors, whose sum is σ = 291753326592000. Its totient is φ = 39666818188800.

The previous prime is 110200221221149. The next prime is 110200221221219. The reversal of 110200221221200 is 2122122002011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087176121 + ... + 1087277479.

It is an arithmetic number, because the mean of its divisors is an integer number (1215638860800).

Almost surely, 2^{110200221221200} is an apocalyptic number.

110200221221200 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 110200221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145876663296000).

110200221221200 is an abundant number, since it is smaller than the sum of its proper divisors (181553105370800).

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

110200221221200 is a wasteful number, since it uses less digits than its factorization.

110200221221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103890 (or 103879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110200221221200 its reverse (2122122002011), we get a palindrome (112322343223211).

The spelling of 110200221221200 in words is "one hundred ten trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".