10144866844101 has 16 divisors (see below), whose sum is σ = 14771752017408. Its totient is φ = 6141911622000.

The previous prime is 10144866844081. The next prime is 10144866844129.

10144866844101 is nontrivially palindromic in base 10.

10144866844101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144866844101 - 2⁵ = 10144866844069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144866844181) 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, 162281425 + ... + 162343926.

It is an arithmetic number, because the mean of its divisors is an integer number (923234501088).

Almost surely, 2^{10144866844101} is an apocalyptic number.

10144866844101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10144866844101 is a deficient number, since it is larger than the sum of its proper divisors (4626885173307).

10144866844101 is a wasteful number, since it uses less digits than its factorization.

10144866844101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324626312.

The product of its (nonzero) digits is 589824, while the sum is 48.

It can be divided in two parts, 1014486 and 6844101, that added together give a palindrome (7858587).

The spelling of 10144866844101 in words is "ten trillion, one hundred forty-four billion, eight hundred sixty-six million, eight hundred forty-four thousand, one hundred one".