10101101 has 2 divisors, whose sum is σ = 10101102. Its totient is φ = 10101100.

The previous prime is 10101097. The next prime is 10101109. The reversal of 10101101 is 10110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9916201 + 184900 = 3149^2 + 430^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101 - 2² = 10101097 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550 + 5050551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050551).

Almost surely, 2^10101101 is an apocalyptic number.

It is an amenable number.

10101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101 is an equidigital number, since it uses as much as digits as its factorization.

10101101 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 5.

The square root of 10101101 is about 3178.2229311362. Note that the first 3 decimals coincide. The cubic root of 10101101 is about 216.1670875080.

Adding to 10101101 its reverse (10110101), we get a palindrome (20211202).

Multiplying 10101101 by its reverse (10110101), we get a palindrome (102123151321201).

It can be divided in two parts, 10101 and 101, that multiplied together give a palindrome (1020201).

The spelling of 10101101 in words is "ten million, one hundred one thousand, one hundred one".