10101101000101 has 2 divisors, whose sum is σ = 10101101000102. Its totient is φ = 10101101000100.

The previous prime is 10101101000051. The next prime is 10101101000131. The reversal of 10101101000101 is 10100010110101.

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., 5252301404100 + 4848799596001 = 2291790^2 + 2201999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101101000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101101000131) 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, 5050550500050 + 5050550500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550500051).

Almost surely, 2^{10101101000101} is an apocalyptic number.

It is an amenable number.

10101101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101000101 is an equidigital number, since it uses as much as digits as its factorization.

10101101000101 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 7.

Adding to 10101101000101 its reverse (10100010110101), we get a palindrome (20201111110202).

It can be divided in two parts, 10101 and 101000101, that multiplied together give a palindrome (1020202020201).

The spelling of 10101101000101 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one", and thus it is an aban number.