1002110000320 has 224 divisors, whose sum is σ = 2811141236736. Its totient is φ = 335450419200.

The previous prime is 1002110000317. The next prime is 1002110000321. The reversal of 1002110000320 is 230000112001.

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 = 1002110000297 and 1002110000306.

It is not an unprimeable number, because it can be changed into a prime (1002110000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16764085 + ... + 16823755.

It is an arithmetic number, because the mean of its divisors is an integer number (12549737664).

Almost surely, 2^{1002110000320} is an apocalyptic number.

1002110000320 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 1002110000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405570618368).

1002110000320 is an abundant number, since it is smaller than the sum of its proper divisors (1809031236416).

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

1002110000320 is a wasteful number, since it uses less digits than its factorization.

1002110000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60079 (or 60069 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1002110000320 its reverse (230000112001), we get a palindrome (1232110112321).

The spelling of 1002110000320 in words is "one trillion, two billion, one hundred ten million, three hundred twenty", and thus it is an aban number.