10212201013200 has 240 divisors, whose sum is σ = 32990651129856. Its totient is φ = 2700173145600.

The previous prime is 10212201013199. The next prime is 10212201013211. The reversal of 10212201013200 is 231010221201.

It is a tau number, because it is divible by the number of its divisors (240).

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 10212201013200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 262565755 + ... + 262604645.

Almost surely, 2^{10212201013200} is an apocalyptic number.

10212201013200 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 10212201013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16495325564928).

10212201013200 is an abundant number, since it is smaller than the sum of its proper divisors (22778450116656).

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

10212201013200 is a wasteful number, since it uses less digits than its factorization.

10212201013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40762 (or 40751 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10212201013200 its reverse (231010221201), we get a palindrome (10443211234401).

The spelling of 10212201013200 in words is "ten trillion, two hundred twelve billion, two hundred one million, thirteen thousand, two hundred".