10221201210020 has 24 divisors (see below), whose sum is σ = 21477634718904. Its totient is φ = 4085982926336.

The previous prime is 10221201209941. The next prime is 10221201210043. The reversal of 10221201210020 is 2001210212201.

It can be written as a sum of positive squares in 4 ways, for example, as 628392314944 + 9592808895076 = 792712^2 + 3097226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221201209977 and 10221201210004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156063797 + ... + 156129276.

It is an arithmetic number, because the mean of its divisors is an integer number (894901446621).

Almost surely, 2^{10221201210020} is an apocalyptic number.

10221201210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221201210020 is an abundant number, since it is smaller than the sum of its proper divisors (11256433508884).

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

10221201210020 is a wasteful number, since it uses less digits than its factorization.

10221201210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312194719 (or 312194717 counting only the distinct ones).

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

Adding to 10221201210020 its reverse (2001210212201), we get a palindrome (12222411422221).

The spelling of 10221201210020 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, two hundred ten thousand, twenty".