221201201221000 has 576 divisors, whose sum is σ = 712743424651440. Its totient is φ = 63642281472000.

The previous prime is 221201201220953. The next prime is 221201201221171. The reversal of 221201201221000 is 122102102122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30843605904804 + 190357595316196 = 5553702^2 + 13797014^2 .

It is a super-2 number, since 2×221201201221000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75642064 + ... + 78511936.

Almost surely, 2^{221201201221000} is an apocalyptic number.

221201201221000 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 221201201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356371712325720).

221201201221000 is an abundant number, since it is smaller than the sum of its proper divisors (491542223430440).

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

221201201221000 is a wasteful number, since it uses less digits than its factorization.

221201201221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869943 (or 2869911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221201201221000 its reverse (122102102122), we get a palindrome (221323303323122).

The spelling of 221201201221000 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand".