10114641101 has 2 divisors, whose sum is σ = 10114641102. Its totient is φ = 10114641100.

The previous prime is 10114641091. The next prime is 10114641109.

10114641101 is nontrivially palindromic in base 10.

10114641101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9389416201 + 725224900 = 96899^2 + 26930^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10114641101 - 2¹⁰ = 10114640077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10114641109) 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, 5057320550 + 5057320551.

It is an arithmetic number, because the mean of its divisors is an integer number (5057320551).

Almost surely, 2^10114641101 is an apocalyptic number.

It is an amenable number.

10114641101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114641101 is an equidigital number, since it uses as much as digits as its factorization.

10114641101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

The spelling of 10114641101 in words is "ten billion, one hundred fourteen million, six hundred forty-one thousand, one hundred one".