10021233223201 has 8 divisors (see below), whose sum is σ = 10023078751400. Its totient is φ = 10019387854080.

The previous prime is 10021233223171. The next prime is 10021233223207. The reversal of 10021233223201 is 10232233212001.

It can be written as a sum of positive squares in 4 ways, for example, as 5521748025600 + 4499485197601 = 2349840^2 + 2121199^2 .

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 10021233223201 - 2²⁷ = 10021099005473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021233223207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274318105 + ... + 274354633.

It is an arithmetic number, because the mean of its divisors is an integer number (1252884843925).

Almost surely, 2^{10021233223201} is an apocalyptic number.

It is an amenable number.

10021233223201 is a deficient number, since it is larger than the sum of its proper divisors (1845528199).

10021233223201 is an equidigital number, since it uses as much as digits as its factorization.

10021233223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79539.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10021233223201 its reverse (10232233212001), we get a palindrome (20253466435202).

The spelling of 10021233223201 in words is "ten trillion, twenty-one billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred one".