10221235125200 has 60 divisors (see below), whose sum is σ = 26788928071488. Its totient is φ = 3716812771200.

The previous prime is 10221235125181. The next prime is 10221235125247. The reversal of 10221235125200 is 252153212201.

It is a happy number.

10221235125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10221235125200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161499592 + ... + 1161508391.

Almost surely, 2^{10221235125200} is an apocalyptic number.

10221235125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221235125200 is an abundant number, since it is smaller than the sum of its proper divisors (16567692946288).

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

10221235125200 is a wasteful number, since it uses less digits than its factorization.

10221235125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323008012 (or 2323008001 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 10221235125200 its reverse (252153212201), we get a palindrome (10473388337401).

The spelling of 10221235125200 in words is "ten trillion, two hundred twenty-one billion, two hundred thirty-five million, one hundred twenty-five thousand, two hundred".