221002201000 has 192 divisors, whose sum is σ = 602826915600. Its totient is φ = 75614784000.

The previous prime is 221002200989. The next prime is 221002201001. The reversal of 221002201000 is 102200122.

It can be written as a sum of positive squares in 8 ways, for example, as 89249172516 + 131753028484 = 298746^2 + 362978^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (221002201001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24936570 + ... + 24945430.

Almost surely, 2^221002201000 is an apocalyptic number.

221002201000 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 221002201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301413457800).

221002201000 is an abundant number, since it is smaller than the sum of its proper divisors (381824714600).

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

221002201000 is a wasteful number, since it uses less digits than its factorization.

221002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221002201000 its reverse (102200122), we get a palindrome (221104401122).

The spelling of 221002201000 in words is "two hundred twenty-one billion, two million, two hundred one thousand".