1002312320200 has 96 divisors (see below), whose sum is σ = 2411340921000. Its totient is φ = 387002470400.

The previous prime is 1002312320153. The next prime is 1002312320231. The reversal of 1002312320200 is 20232132001.

It can be written as a sum of positive squares in 12 ways, for example, as 119302541604 + 883009778596 = 345402^2 + 939686^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25622256 + ... + 25661344.

Almost surely, 2^{1002312320200} is an apocalyptic number.

1002312320200 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 1002312320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205670460500).

1002312320200 is an abundant number, since it is smaller than the sum of its proper divisors (1409028600800).

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

1002312320200 is a wasteful number, since it uses less digits than its factorization.

1002312320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43555 (or 43546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1002312320200 its reverse (20232132001), we get a palindrome (1022544452201).

The spelling of 1002312320200 in words is "one trillion, two billion, three hundred twelve million, three hundred twenty thousand, two hundred".