10202112221200 has 120 divisors (see below), whose sum is σ = 25986223407200. Its totient is φ = 3838249774080.

The previous prime is 10202112221183. The next prime is 10202112221299. The reversal of 10202112221200 is 212221120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3772317 + ... + 5885116.

Almost surely, 2^{10202112221200} is an apocalyptic number.

10202112221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202112221200 is an abundant number, since it is smaller than the sum of its proper divisors (15784111186000).

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

10202112221200 is a wasteful number, since it uses less digits than its factorization.

10202112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657609 (or 9657598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10202112221200 its reverse (212221120201), we get a palindrome (10414333341401).

The spelling of 10202112221200 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".