10221231102113 has 8 divisors (see below), whose sum is σ = 10417974870888. Its totient is φ = 10024631420544.

The previous prime is 10221231102107. The next prime is 10221231102161. The reversal of 10221231102113 is 31120113212201.

It can be written as a sum of positive squares in 4 ways, for example, as 810030600289 + 9411200501824 = 900017^2 + 3067768^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221231102113 - 2¹⁰ = 10221231101089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221231101113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35878556 + ... + 36162317.

It is an arithmetic number, because the mean of its divisors is an integer number (1302246858861).

Almost surely, 2^{10221231102113} is an apocalyptic number.

It is an amenable number.

10221231102113 is a deficient number, since it is larger than the sum of its proper divisors (196743768775).

10221231102113 is an equidigital number, since it uses as much as digits as its factorization.

10221231102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72043603.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10221231102113 its reverse (31120113212201), we get a palindrome (41341344314314).

The spelling of 10221231102113 in words is "ten trillion, two hundred twenty-one billion, two hundred thirty-one million, one hundred two thousand, one hundred thirteen".