10221313121 has 16 divisors (see below), whose sum is σ = 10915648128. Its totient is φ = 9537465600.

The previous prime is 10221313103. The next prime is 10221313129. The reversal of 10221313121 is 12131312201.

It is a cyclic number.

It is not a de Polignac number, because 10221313121 - 2⁶ = 10221313057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221313121.

It is not an unprimeable number, because it can be changed into a prime (10221313129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3768956 + ... + 3771666.

It is an arithmetic number, because the mean of its divisors is an integer number (682228008).

Almost surely, 2^10221313121 is an apocalyptic number.

It is an amenable number.

10221313121 is a deficient number, since it is larger than the sum of its proper divisors (694335007).

10221313121 is a wasteful number, since it uses less digits than its factorization.

10221313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10221313121 its reverse (12131312201), we get a palindrome (22352625322).

The spelling of 10221313121 in words is "ten billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-one".