10220242120 has 288 divisors, whose sum is σ = 27789713280. Its totient is φ = 3352803840.

The previous prime is 10220242093. The next prime is 10220242127. The reversal of 10220242120 is 2124202201.

It is a junction number, because it is equal to n+sod(n) for n = 10220242094 and 10220242103.

It is not an unprimeable number, because it can be changed into a prime (10220242127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217451937 + ... + 217451983.

It is an arithmetic number, because the mean of its divisors is an integer number (96492060).

Almost surely, 2^10220242120 is an apocalyptic number.

10220242120 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 10220242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894856640).

10220242120 is an abundant number, since it is smaller than the sum of its proper divisors (17569471160).

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

10220242120 is a wasteful number, since it uses less digits than its factorization.

10220242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10220242120 its reverse (2124202201), we get a palindrome (12344444321).

It can be divided in two parts, 1022024 and 2120, that added together give a square (1024144 = 1012²).

The spelling of 10220242120 in words is "ten billion, two hundred twenty million, two hundred forty-two thousand, one hundred twenty".