10144644101 has 8 divisors (see below), whose sum is σ = 10314226008. Its totient is φ = 9975168000.

The previous prime is 10144644091. The next prime is 10144644113.

10144644101 is nontrivially palindromic in base 10.

10144644101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3147076 + 10141497025 = 1774^2 + 100705^2 .

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 10144644101 - 2¹⁸ = 10144381957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144644131) 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, 180281 + ... + 229761.

It is an arithmetic number, because the mean of its divisors is an integer number (1289278251).

Almost surely, 2^10144644101 is an apocalyptic number.

It is an amenable number.

10144644101 is a deficient number, since it is larger than the sum of its proper divisors (169581907).

10144644101 is an equidigital number, since it uses as much as digits as its factorization.

10144644101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52903.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 10144644101 in words is "ten billion, one hundred forty-four million, six hundred forty-four thousand, one hundred one".