1002113312200 has 576 divisors, whose sum is σ = 3180657674880. Its totient is φ = 285697843200.

The previous prime is 1002113312191. The next prime is 1002113312219. The reversal of 1002113312200 is 22133112001.

1002113312200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248846587 + ... + 248850613.

It is an arithmetic number, because the mean of its divisors is an integer number (5521975130).

Almost surely, 2^{1002113312200} is an apocalyptic number.

1002113312200 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 1002113312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590328837440).

1002113312200 is an abundant number, since it is smaller than the sum of its proper divisors (2178544362680).

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

1002113312200 is a wasteful number, since it uses less digits than its factorization.

1002113312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4178 counting only the distinct ones).

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

Adding to 1002113312200 its reverse (22133112001), we get a palindrome (1024246424201).

The spelling of 1002113312200 in words is "one trillion, two billion, one hundred thirteen million, three hundred twelve thousand, two hundred".