10002113213200 has 60 divisors (see below), whose sum is σ = 24035070222900. Its totient is φ = 4000013946880.

The previous prime is 10002113213189. The next prime is 10002113213201. The reversal of 10002113213200 is 231231120001.

It can be written as a sum of positive squares in 6 ways, for example, as 269684953344 + 9732428259856 = 519312^2 + 3119684^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10002113213201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 668725 + ... + 4522324.

It is an arithmetic number, because the mean of its divisors is an integer number (400584503715).

Almost surely, 2^{10002113213200} is an apocalyptic number.

10002113213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002113213200 is an abundant number, since it is smaller than the sum of its proper divisors (14032957009700).

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

10002113213200 is a wasteful number, since it uses less digits than its factorization.

10002113213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195884 (or 5195873 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10002113213200 its reverse (231231120001), we get a palindrome (10233344333201).

The spelling of 10002113213200 in words is "ten trillion, two billion, one hundred thirteen million, two hundred thirteen thousand, two hundred".