20001122010220 has 144 divisors (see below), whose sum is σ = 46013432482080. Its totient is φ = 7298787944448.

The previous prime is 20001122010193. The next prime is 20001122010341. The reversal of 20001122010220 is 2201022110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20001122010220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733084699 + ... + 733111981.

It is an arithmetic number, because the mean of its divisors is an integer number (319537725570).

Almost surely, 2^{20001122010220} is an apocalyptic number.

20001122010220 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 20001122010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006716241040).

20001122010220 is an abundant number, since it is smaller than the sum of its proper divisors (26012310471860).

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

20001122010220 is a wasteful number, since it uses less digits than its factorization.

20001122010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29844 (or 29829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20001122010220 its reverse (2201022110002), we get a palindrome (22202144120222).

It can be divided in two parts, 20001 and 122010220, that added together give a palindrome (122030221).

The spelling of 20001122010220 in words is "twenty trillion, one billion, one hundred twenty-two million, ten thousand, two hundred twenty".