10101110111101 has 2 divisors, whose sum is σ = 10101110111102. Its totient is φ = 10101110111100.

The previous prime is 10101110111039. The next prime is 10101110111107. The reversal of 10101110111101 is 10111101110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6318964200025 + 3782145911076 = 2513755^2 + 1944774^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101110111101 - 2⁹ = 10101110110589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101110111107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555055550 + 5050555055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555055551).

Almost surely, 2^{10101110111101} is an apocalyptic number.

It is an amenable number.

10101110111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101110111101 is an equidigital number, since it uses as much as digits as its factorization.

10101110111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10101110111101 its reverse (10111101110101), we get a palindrome (20212211221202).

The spelling of 10101110111101 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred one".