10220001220 has 108 divisors (see below), whose sum is σ = 25545727620. Its totient is φ = 3430352640.

The previous prime is 10220001199. The next prime is 10220001227. The reversal of 10220001220 is 2210002201.

It can be written as a sum of positive squares in 6 ways, for example, as 102860164 + 10117141056 = 10142^2 + 100584^2 .

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 = 10220001197 and 10220001206.

It is not an unprimeable number, because it can be changed into a prime (10220001227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396486 + ... + 421474.

It is an arithmetic number, because the mean of its divisors is an integer number (236534515).

Almost surely, 2^10220001220 is an apocalyptic number.

10220001220 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 10220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772863810).

10220001220 is an abundant number, since it is smaller than the sum of its proper divisors (15325726400).

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

10220001220 is a wasteful number, since it uses less digits than its factorization.

10220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 25020 counting only the distinct ones).

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

Adding to 10220001220 its reverse (2210002201), we get a palindrome (12430003421).

The spelling of 10220001220 in words is "ten billion, two hundred twenty million, one thousand, two hundred twenty".