10011101000101 has 2 divisors, whose sum is σ = 10011101000102. Its totient is φ = 10011101000100.

The previous prime is 10011101000093. The next prime is 10011101000107. The reversal of 10011101000101 is 10100010111001.

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., 10000362652225 + 10738347876 = 3162335^2 + 103626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011101000101 - 2³ = 10011101000093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011101000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550500050 + 5005550500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550500051).

Almost surely, 2^{10011101000101} is an apocalyptic number.

It is an amenable number.

10011101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011101000101 is an equidigital number, since it uses as much as digits as its factorization.

10011101000101 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 10011101000101 its reverse (10100010111001), we get a palindrome (20111111111102).

The spelling of 10011101000101 in words is "ten trillion, eleven billion, one hundred one million, one hundred one", and thus it is an aban number.