1000010120320 has 32 divisors (see below), whose sum is σ = 2390649195420. Its totient is φ = 400004047872.

The previous prime is 1000010120279. The next prime is 1000010120321. The reversal of 1000010120320 is 230210100001.

It can be written as a sum of positive squares in 2 ways, for example, as 898870855744 + 101139264576 = 948088^2 + 318024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 = 1000010120297 and 1000010120306.

It is not an unprimeable number, because it can be changed into a prime (1000010120321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781257267 + ... + 781258546.

Almost surely, 2^{1000010120320} is an apocalyptic number.

1000010120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000010120320 is an abundant number, since it is smaller than the sum of its proper divisors (1390639075100).

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

1000010120320 is an equidigital number, since it uses as much as digits as its factorization.

1000010120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562515832 (or 1562515820 counting only the distinct ones).

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

Adding to 1000010120320 its reverse (230210100001), we get a palindrome (1230220220321).

The spelling of 1000010120320 in words is "one trillion, ten million, one hundred twenty thousand, three hundred twenty".