20002100221220 has 96 divisors (see below), whose sum is σ = 47901114319968. Its totient is φ = 6950276554752.

The previous prime is 20002100221163. The next prime is 20002100221231. The reversal of 20002100221220 is 2212200120002.

It can be written as a sum of positive squares in 16 ways, for example, as 7002787253284 + 12999312967936 = 2646278^2 + 3605456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20002100221195 and 20002100221204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46092374 + ... + 46524306.

It is an arithmetic number, because the mean of its divisors is an integer number (498969940833).

Almost surely, 2^{20002100221220} is an apocalyptic number.

20002100221220 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 20002100221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950557159984).

20002100221220 is an abundant number, since it is smaller than the sum of its proper divisors (27899014098748).

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

20002100221220 is a wasteful number, since it uses less digits than its factorization.

20002100221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442449 (or 442447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20002100221220 its reverse (2212200120002), we get a palindrome (22214300341222).

The spelling of 20002100221220 in words is "twenty trillion, two billion, one hundred million, two hundred twenty-one thousand, two hundred twenty".