221002010000 has 200 divisors, whose sum is σ = 542615576184. Its totient is φ = 87162880000.

The previous prime is 221002009993. The next prime is 221002010011. The reversal of 221002010000 is 10200122.

It can be written as a sum of positive squares in 20 ways, for example, as 207046840576 + 13955169424 = 455024^2 + 118132^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 221002010000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 290409620 + ... + 290410380.

Almost surely, 2^221002010000 is an apocalyptic number.

221002010000 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 221002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271307788092).

221002010000 is an abundant number, since it is smaller than the sum of its proper divisors (321613566184).

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

221002010000 is a wasteful number, since it uses less digits than its factorization.

221002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

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

Adding to 221002010000 its reverse (10200122), we get a palindrome (221012210122).

The spelling of 221002010000 in words is "two hundred twenty-one billion, two million, ten thousand".