1002210000210 has 48 divisors (see below), whose sum is σ = 2607496346520. Its totient is φ = 267076477440.

The previous prime is 1002210000203. The next prime is 1002210000229. The reversal of 1002210000210 is 120000122001.

It can be written as a sum of positive squares in 4 ways, for example, as 574128990369 + 428081009841 = 757713^2 + 654279^2 .

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 = 1002210000192 and 1002210000201.

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 23 ways as a sum of consecutive naturals, for example, 3605301 + ... + 3873320.

Almost surely, 2^{1002210000210} is an apocalyptic number.

1002210000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002210000210 is an abundant number, since it is smaller than the sum of its proper divisors (1605286346310).

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

1002210000210 is a wasteful number, since it uses less digits than its factorization.

1002210000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480123 (or 7480120 counting only the distinct ones).

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

Adding to 1002210000210 its reverse (120000122001), we get a palindrome (1122210122211).

The spelling of 1002210000210 in words is "one trillion, two billion, two hundred ten million, two hundred ten", and thus it is an aban number.