10213240205000 has 80 divisors (see below), whose sum is σ = 27348139294080. Its totient is φ = 3501682344000.

The previous prime is 10213240204987. The next prime is 10213240205017. The reversal of 10213240205000 is 50204231201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 145868432 + ... + 145938431.

It is an arithmetic number, because the mean of its divisors is an integer number (341851741176).

Almost surely, 2^{10213240205000} is an apocalyptic number.

10213240205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213240205000 is an abundant number, since it is smaller than the sum of its proper divisors (17134899089080).

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

10213240205000 is an equidigital number, since it uses as much as digits as its factorization.

10213240205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291806896 (or 291806877 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10213240205000 its reverse (50204231201), we get a palindrome (10263444436201).

The spelling of 10213240205000 in words is "ten trillion, two hundred thirteen billion, two hundred forty million, two hundred five thousand".