20001221310 has 192 divisors, whose sum is σ = 59843411712. Its totient is φ = 4250502144.

The previous prime is 20001221299. The next prime is 20001221311. The reversal of 20001221310 is 1312210002.

It is a super-2 number, since 2×20001221310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069349 + ... + 2078991.

It is an arithmetic number, because the mean of its divisors is an integer number (311684436).

Almost surely, 2^20001221310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921705856).

20001221310 is an abundant number, since it is smaller than the sum of its proper divisors (39842190402).

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

20001221310 is a wasteful number, since it uses less digits than its factorization.

20001221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20001221310 its reverse (1312210002), we get a palindrome (21313431312).

The spelling of 20001221310 in words is "twenty billion, one million, two hundred twenty-one thousand, three hundred ten".