10010144223201 has 12 divisors (see below), whose sum is σ = 13636876732592. Its totient is φ = 6531441616488.

The previous prime is 10010144223197. The next prime is 10010144223241. The reversal of 10010144223201 is 10232244101001.

It is not a de Polignac number, because 10010144223201 - 2² = 10010144223197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010144223241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755247955 + ... + 755261208.

Almost surely, 2^{10010144223201} is an apocalyptic number.

It is an amenable number.

10010144223201 is a deficient number, since it is larger than the sum of its proper divisors (3626732509391).

10010144223201 is an equidigital number, since it uses as much as digits as its factorization.

10010144223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510509260 (or 1510509213 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10010144223201 its reverse (10232244101001), we get a palindrome (20242388324202).

The spelling of 10010144223201 in words is "ten trillion, ten billion, one hundred forty-four million, two hundred twenty-three thousand, two hundred one".