10213004220210 has 192 divisors, whose sum is σ = 30677039902080. Its totient is φ = 2329840343040.

The previous prime is 10213004220191. The next prime is 10213004220239. The reversal of 10213004220210 is 1202240031201.

It is a happy number.

10213004220210 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 30 + 0 + 422 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104347576 + ... + 104445404.

It is an arithmetic number, because the mean of its divisors is an integer number (159776249490).

Almost surely, 2^{10213004220210} is an apocalyptic number.

10213004220210 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 10213004220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338519951040).

10213004220210 is an abundant number, since it is smaller than the sum of its proper divisors (20464035681870).

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

10213004220210 is a wasteful number, since it uses less digits than its factorization.

10213004220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104073 (or 104070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213004220210 its reverse (1202240031201), we get a palindrome (11415244251411).

The spelling of 10213004220210 in words is "ten trillion, two hundred thirteen billion, four million, two hundred twenty thousand, two hundred ten".