1000210320320 has 112 divisors (see below), whose sum is σ = 2449104271200. Its totient is φ = 388796534784.

The previous prime is 1000210320269. The next prime is 1000210320323. The reversal of 1000210320320 is 230230120001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000210320295 and 1000210320304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210320323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9740606 + ... + 9842754.

Almost surely, 2^{1000210320320} is an apocalyptic number.

1000210320320 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 1000210320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224552135600).

1000210320320 is an abundant number, since it is smaller than the sum of its proper divisors (1448893950880).

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

1000210320320 is a wasteful number, since it uses less digits than its factorization.

1000210320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103030 (or 103020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1000210320320 its reverse (230230120001), we get a palindrome (1230440440321).

The spelling of 1000210320320 in words is "one trillion, two hundred ten million, three hundred twenty thousand, three hundred twenty".