221110220221200 has 600 divisors, whose sum is σ = 801793655600256. Its totient is φ = 58350533760000.

The previous prime is 221110220221199. The next prime is 221110220221237. The reversal of 221110220221200 is 2122022011122.

It is a happy number.

221110220221200 is a `hidden beast` number, since 2 + 2 + 11 + 10 + 220 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×221110220221200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7209081865 + ... + 7209112535.

Almost surely, 2^{221110220221200} is an apocalyptic number.

221110220221200 is a gapful number since it is divisible by the number (20) 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 221110220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400896827800128).

221110220221200 is an abundant number, since it is smaller than the sum of its proper divisors (580683435379056).

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

221110220221200 is a wasteful number, since it uses less digits than its factorization.

221110220221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33005 (or 32985 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221110220221200 its reverse (2122022011122), we get a palindrome (223232242232322).

The spelling of 221110220221200 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".