10144114121 has 2 divisors, whose sum is σ = 10144114122. Its totient is φ = 10144114120.

The previous prime is 10144114109. The next prime is 10144114151. The reversal of 10144114121 is 12141144101.

10144114121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9532788496 + 611325625 = 97636^2 + 24725^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144114121 - 2¹⁴ = 10144097737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10144114093 and 10144114102.

It is not a weakly prime, because it can be changed into another prime (10144114151) 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 as a sum of consecutive naturals, namely, 5072057060 + 5072057061.

It is an arithmetic number, because the mean of its divisors is an integer number (5072057061).

Almost surely, 2^10144114121 is an apocalyptic number.

It is an amenable number.

10144114121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144114121 is an equidigital number, since it uses as much as digits as its factorization.

10144114121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10144114121 its reverse (12141144101), we get a palindrome (22285258222).

The spelling of 10144114121 in words is "ten billion, one hundred forty-four million, one hundred fourteen thousand, one hundred twenty-one".