10221210121200 has 240 divisors, whose sum is σ = 35264169615360. Its totient is φ = 2515732208640.

The previous prime is 10221210121193. The next prime is 10221210121223. The reversal of 10221210121200 is 212101212201.

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 10221210121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184660729 + ... + 184716071.

It is an arithmetic number, because the mean of its divisors is an integer number (146934040064).

Almost surely, 2^{10221210121200} is an apocalyptic number.

10221210121200 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 10221210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632084807680).

10221210121200 is an abundant number, since it is smaller than the sum of its proper divisors (25042959494160).

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

10221210121200 is a wasteful number, since it uses less digits than its factorization.

10221210121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67216 (or 67205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221210121200 its reverse (212101212201), we get a palindrome (10433311333401).

The spelling of 10221210121200 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty-one thousand, two hundred".