221202101200 has 120 divisors (see below), whose sum is σ = 545172278616. Its totient is φ = 86200320000.

The previous prime is 221202101191. The next prime is 221202101221. The reversal of 221202101200 is 2101202122.

It is a happy number.

221202101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 55119770176 + 166082331024 = 234776^2 + 407532^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12012000 + ... + 12030400.

Almost surely, 2^221202101200 is an apocalyptic number.

221202101200 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 221202101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272586139308).

221202101200 is an abundant number, since it is smaller than the sum of its proper divisors (323970177416).

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

221202101200 is a wasteful number, since it uses less digits than its factorization.

221202101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19193 (or 19182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221202101200 its reverse (2101202122), we get a palindrome (223303303322).

The spelling of 221202101200 in words is "two hundred twenty-one billion, two hundred two million, one hundred one thousand, two hundred".