202221001221000 has 256 divisors, whose sum is σ = 669085322181120. Its totient is φ = 50674319360000.

The previous prime is 202221001220971. The next prime is 202221001221011. The reversal of 202221001221000 is 122100122202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29598085 + ... + 35783915.

It is an arithmetic number, because the mean of its divisors is an integer number (2613614539770).

Almost surely, 2^{202221001221000} is an apocalyptic number.

202221001221000 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 202221001221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334542661090560).

202221001221000 is an abundant number, since it is smaller than the sum of its proper divisors (466864320960120).

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

202221001221000 is a wasteful number, since it uses less digits than its factorization.

202221001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186513 (or 6186499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202221001221000 its reverse (122100122202), we get a palindrome (202343101343202).

The spelling of 202221001221000 in words is "two hundred two trillion, two hundred twenty-one billion, one million, two hundred twenty-one thousand".