10221133340441 has 16 divisors (see below), whose sum is σ = 11418284808000. Its totient is φ = 9092532538368.

The previous prime is 10221133340419. The next prime is 10221133340491. The reversal of 10221133340441 is 14404333112201.

10221133340441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10221133340441 - 2¹⁸ = 10221133078297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221133340491) 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, 36400991 + ... + 36680708.

It is an arithmetic number, because the mean of its divisors is an integer number (713642800500).

Almost surely, 2^{10221133340441} is an apocalyptic number.

It is an amenable number.

10221133340441 is a deficient number, since it is larger than the sum of its proper divisors (1197151467559).

10221133340441 is a wasteful number, since it uses less digits than its factorization.

10221133340441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73082168.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10221133340441 its reverse (14404333112201), we get a palindrome (24625466452642).

The spelling of 10221133340441 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred forty thousand, four hundred forty-one".