10212110313200 has 60 divisors (see below), whose sum is σ = 24538298045880. Its totient is φ = 4084227598080.

The previous prime is 10212110313161. The next prime is 10212110313203. The reversal of 10212110313200 is 231301121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212110313203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731471 + ... + 4578129.

It is an arithmetic number, because the mean of its divisors is an integer number (408971634098).

Almost surely, 2^{10212110313200} is an apocalyptic number.

10212110313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212110313200 is an abundant number, since it is smaller than the sum of its proper divisors (14326187732680).

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

10212110313200 is a wasteful number, since it uses less digits than its factorization.

10212110313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853314 (or 3853303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10212110313200 its reverse (231301121201), we get a palindrome (10443411434401).

The spelling of 10212110313200 in words is "ten trillion, two hundred twelve billion, one hundred ten million, three hundred thirteen thousand, two hundred".