10221220201220 has 96 divisors (see below), whose sum is σ = 24835500281088. Its totient is φ = 3460938780672.

The previous prime is 10221220201207. The next prime is 10221220201223. The reversal of 10221220201220 is 2210202212201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10221220201223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32110364 + ... + 32427116.

It is an arithmetic number, because the mean of its divisors is an integer number (258703127928).

Almost surely, 2^{10221220201220} is an apocalyptic number.

10221220201220 is a gapful number since it is divisible by the number (10) 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 10221220201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417750140544).

10221220201220 is an abundant number, since it is smaller than the sum of its proper divisors (14614280079868).

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

10221220201220 is a wasteful number, since it uses less digits than its factorization.

10221220201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319629 (or 319627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10221220201220 its reverse (2210202212201), we get a palindrome (12431422413421).

The spelling of 10221220201220 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, two hundred twenty".