10221002012200 has 144 divisors (see below), whose sum is σ = 27645357905280. Its totient is φ = 3504125600640.

The previous prime is 10221002012191. The next prime is 10221002012239. The reversal of 10221002012200 is 221020012201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288523689 + ... + 288559111.

It is an arithmetic number, because the mean of its divisors is an integer number (191981652120).

Almost surely, 2^{10221002012200} is an apocalyptic number.

10221002012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002012200 is an abundant number, since it is smaller than the sum of its proper divisors (17424355893080).

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

10221002012200 is a wasteful number, since it uses less digits than its factorization.

10221002012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64896 (or 64880 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221002012200 its reverse (221020012201), we get a palindrome (10442022024401).

The spelling of 10221002012200 in words is "ten trillion, two hundred twenty-one billion, two million, twelve thousand, two hundred".