10221200211020 has 48 divisors (see below), whose sum is σ = 21575687212800. Its totient is φ = 4067359834560.

The previous prime is 10221200211011. The next prime is 10221200211041. The reversal of 10221200211020 is 2011200212201.

10221200211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221200210986 and 10221200211004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309655 + ... + 4707185.

It is an arithmetic number, because the mean of its divisors is an integer number (449493483600).

Almost surely, 2^{10221200211020} is an apocalyptic number.

10221200211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221200211020 is an abundant number, since it is smaller than the sum of its proper divisors (11354487001780).

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

10221200211020 is a wasteful number, since it uses less digits than its factorization.

10221200211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398318 (or 3398316 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221200211020 its reverse (2011200212201), we get a palindrome (12232400423221).

The spelling of 10221200211020 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred eleven thousand, twenty".