11101000100101 has 2 divisors, whose sum is σ = 11101000100102. Its totient is φ = 11101000100100.

The previous prime is 11101000100087. The next prime is 11101000100167. The reversal of 11101000100101 is 10100100010111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7827270771076 + 3273729329025 = 2797726^2 + 1809345^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101000100101 - 2²³ = 11100991711493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101000104101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550500050050 + 5550500050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5550500050051).

Almost surely, 2^{11101000100101} is an apocalyptic number.

It is an amenable number.

11101000100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101000100101 is an equidigital number, since it uses as much as digits as its factorization.

11101000100101 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 11101000100101 its reverse (10100100010111), we get a palindrome (21201100110212).

The spelling of 11101000100101 in words is "eleven trillion, one hundred one billion, one hundred thousand, one hundred one".