10101000111101 has 2 divisors, whose sum is σ = 10101000111102. Its totient is φ = 10101000111100.

The previous prime is 10101000111043. The next prime is 10101000111109. The reversal of 10101000111101 is 10111100010101.

It is an a-pointer prime, because the next prime (10101000111109) can be obtained adding 10101000111101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7878962688601 + 2222037422500 = 2806949^2 + 1490650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101000111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101000111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500055550 + 5050500055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500055551).

Almost surely, 2^{10101000111101} is an apocalyptic number.

It is an amenable number.

10101000111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000111101 is an equidigital number, since it uses as much as digits as its factorization.

10101000111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10101000111101 its reverse (10111100010101), we get a palindrome (20212100121202).

The spelling of 10101000111101 in words is "ten trillion, one hundred one billion, one hundred eleven thousand, one hundred one".