221201000000 has 98 divisors (see below), whose sum is σ = 548677625274. Its totient is φ = 88480000000.

The previous prime is 221200999997. The next prime is 221201000023. The reversal of 221201000000 is 102122.

It can be written as a sum of positive squares in 7 ways, for example, as 220471567936 + 729432064 = 469544^2 + 27008^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 889400 + ... + 1110600.

Almost surely, 2^221201000000 is an apocalyptic number.

221201000000 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 221201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274338812637).

221201000000 is an abundant number, since it is smaller than the sum of its proper divisors (327476625274).

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

221201000000 is an frugal number, since it uses more digits than its factorization.

221201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221243 (or 221208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 221201000000 its reverse (102122), we get a palindrome (221201102122).

The spelling of 221201000000 in words is "two hundred twenty-one billion, two hundred one million", and thus it is an aban number.