10100011101101 has 2 divisors, whose sum is σ = 10100011101102. Its totient is φ = 10100011101100.

The previous prime is 10100011101077. The next prime is 10100011101119. The reversal of 10100011101101 is 10110111000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9079820199076 + 1020190902025 = 3013274^2 + 1010045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011101101 - 2³⁴ = 10082831231917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011101121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005550550 + 5050005550551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005550551).

Almost surely, 2^{10100011101101} is an apocalyptic number.

It is an amenable number.

10100011101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011101101 is an equidigital number, since it uses as much as digits as its factorization.

10100011101101 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 8.

Adding to 10100011101101 its reverse (10110111000101), we get a palindrome (20210122101202).

The spelling of 10100011101101 in words is "ten trillion, one hundred billion, eleven million, one hundred one thousand, one hundred one".