10221221002112 has 64 divisors (see below), whose sum is σ = 20499401203200. Its totient is φ = 5076279744000.

The previous prime is 10221221002099. The next prime is 10221221002163. The reversal of 10221221002112 is 21120012212201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285244037 + ... + 285279867.

It is an arithmetic number, because the mean of its divisors is an integer number (320303143800).

Almost surely, 2^{10221221002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249700601600).

10221221002112 is an abundant number, since it is smaller than the sum of its proper divisors (10278180201088).

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

10221221002112 is a wasteful number, since it uses less digits than its factorization.

10221221002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50755 (or 50743 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221221002112 its reverse (21120012212201), we get a palindrome (31341233214313).

The spelling of 10221221002112 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, two thousand, one hundred twelve".