10210210120 has 128 divisors (see below), whose sum is σ = 26531712000. Its totient is φ = 3497230080.

The previous prime is 10210210093. The next prime is 10210210141. The reversal of 10210210120 is 2101201201.

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 = 10210210097 and 10210210106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493029 + ... + 1499851.

It is an arithmetic number, because the mean of its divisors is an integer number (207279000).

Almost surely, 2^10210210120 is an apocalyptic number.

10210210120 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 10210210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265856000).

10210210120 is an abundant number, since it is smaller than the sum of its proper divisors (16321501880).

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

10210210120 is a wasteful number, since it uses less digits than its factorization.

10210210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210210120 its reverse (2101201201), we get a palindrome (12311411321).

The spelling of 10210210120 in words is "ten billion, two hundred ten million, two hundred ten thousand, one hundred twenty".