10210200313200 has 120 divisors (see below), whose sum is σ = 32709244867200. Its totient is φ = 2722506151680.

The previous prime is 10210200313163. The next prime is 10210200313213. The reversal of 10210200313200 is 231300201201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10210200313200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15247021 + ... + 15902579.

It is an arithmetic number, because the mean of its divisors is an integer number (272577040560).

Almost surely, 2^{10210200313200} is an apocalyptic number.

10210200313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210200313200 is an abundant number, since it is smaller than the sum of its proper divisors (22499044554000).

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

10210200313200 is a wasteful number, since it uses less digits than its factorization.

10210200313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668559 (or 668548 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10210200313200 its reverse (231300201201), we get a palindrome (10441500514401).

The spelling of 10210200313200 in words is "ten trillion, two hundred ten billion, two hundred million, three hundred thirteen thousand, two hundred".