10210221120 has 224 divisors, whose sum is σ = 35894808576. Its totient is φ = 2438092800.

The previous prime is 10210221079. The next prime is 10210221127. The reversal of 10210221120 is 2112201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210221096 and 10210221105.

It is not an unprimeable number, because it can be changed into a prime (10210221127) 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, 700305 + ... + 714735.

Almost surely, 2^10210221120 is an apocalyptic number.

10210221120 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 10210221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947404288).

10210221120 is an abundant number, since it is smaller than the sum of its proper divisors (25684587456).

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

10210221120 is a wasteful number, since it uses less digits than its factorization.

10210221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14529 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210221120 its reverse (2112201201), we get a palindrome (12322422321).

The spelling of 10210221120 in words is "ten billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".