10002201220 has 72 divisors (see below), whose sum is σ = 23164650432. Its totient is φ = 3625047360.

The previous prime is 10002201203. The next prime is 10002201221. The reversal of 10002201220 is 2210220001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10002201197 and 10002201206.

It is not an unprimeable number, because it can be changed into a prime (10002201221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736209 + ... + 749671.

It is an arithmetic number, because the mean of its divisors is an integer number (321731256).

Almost surely, 2^10002201220 is an apocalyptic number.

10002201220 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 10002201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582325216).

10002201220 is an abundant number, since it is smaller than the sum of its proper divisors (13162449212).

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

10002201220 is a wasteful number, since it uses less digits than its factorization.

10002201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002201220 its reverse (2210220001), we get a palindrome (12212421221).

The spelling of 10002201220 in words is "ten billion, two million, two hundred one thousand, two hundred twenty".