4100221200 has 120 divisors (see below), whose sum is σ = 13558187776. Its totient is φ = 1058112000.

The previous prime is 4100221171. The next prime is 4100221207. The reversal of 4100221200 is 21220014.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4100221207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17911 + ... + 92310.

Almost surely, 2^4100221200 is an apocalyptic number.

4100221200 is a gapful number since it is divisible by the number (40) 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 4100221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779093888).

4100221200 is an abundant number, since it is smaller than the sum of its proper divisors (9457966576).

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

4100221200 is a wasteful number, since it uses less digits than its factorization.

4100221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110273 (or 110262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4100221200 is about 64032.9696328384. The cubic root of 4100221200 is about 1600.5494467128.

Adding to 4100221200 its reverse (21220014), we get a palindrome (4121441214).

The spelling of 4100221200 in words is "four billion, one hundred million, two hundred twenty-one thousand, two hundred".