221001010000 has 100 divisors (see below), whose sum is σ = 540068772672. Its totient is φ = 87573808000.

The previous prime is 221001009907. The next prime is 221001010001. The reversal of 221001010000 is 10100122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 966729 + ... + 1173271.

Almost surely, 2^221001010000 is an apocalyptic number.

221001010000 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 221001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270034386336).

221001010000 is an abundant number, since it is smaller than the sum of its proper divisors (319067762672).

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

221001010000 is a wasteful number, since it uses less digits than its factorization.

221001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206678 (or 206657 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 221001010000 its reverse (10100122), we get a palindrome (221011110122).

The spelling of 221001010000 in words is "two hundred twenty-one billion, one million, ten thousand".