10020210210 has 192 divisors, whose sum is σ = 29081501280. Its totient is φ = 2381783040.

The previous prime is 10020210209. The next prime is 10020210229. The reversal of 10020210210 is 1201202001.

It can be written as a sum of positive squares in 16 ways, for example, as 6116334849 + 3903875361 = 78207^2 + 62481^2 .

It is a super-2 number, since 2×10020210210² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020210192 and 10020210201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2349480 + ... + 2353740.

Almost surely, 2^10020210210 is an apocalyptic number.

10020210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540750640).

10020210210 is an abundant number, since it is smaller than the sum of its proper divisors (19061291070).

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

10020210210 is a wasteful number, since it uses less digits than its factorization.

10020210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020210210 its reverse (1201202001), we get a palindrome (11221412211).

The spelling of 10020210210 in words is "ten billion, twenty million, two hundred ten thousand, two hundred ten".