10202222221200 has 360 divisors, whose sum is σ = 36071647059240. Its totient is φ = 2669807616000.

The previous prime is 10202222221183. The next prime is 10202222221201. The reversal of 10202222221200 is 212222220201.

10202222221200 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 222 + 221 + 200 = 666.

10202222221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4595158151424 + 5607064069776 = 2143632^2 + 2367924^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10202222221201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40962646 + ... + 41210954.

It is an arithmetic number, because the mean of its divisors is an integer number (100199019609).

Almost surely, 2^{10202222221200} is an apocalyptic number.

10202222221200 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 10202222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035823529620).

10202222221200 is an abundant number, since it is smaller than the sum of its proper divisors (25869424838040).

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

10202222221200 is a wasteful number, since it uses less digits than its factorization.

10202222221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248547 (or 248533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10202222221200 its reverse (212222220201), we get a palindrome (10414444441401).

Subtracting from 10202222221200 its reverse (212222220201), we obtain a palindrome (9990000000999).

The spelling of 10202222221200 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".