11001101006101 has 2 divisors, whose sum is σ = 11001101006102. Its totient is φ = 11001101006100.

The previous prime is 11001101006057. The next prime is 11001101006107. The reversal of 11001101006101 is 10160010110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10513514427025 + 487586579076 = 3242455^2 + 698274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11001101006101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001101006107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500550503050 + 5500550503051.

It is an arithmetic number, because the mean of its divisors is an integer number (5500550503051).

Almost surely, 2^{11001101006101} is an apocalyptic number.

It is an amenable number.

11001101006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001101006101 is an equidigital number, since it uses as much as digits as its factorization.

11001101006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11001101006101 its reverse (10160010110011), we get a palindrome (21161111116112).

The spelling of 11001101006101 in words is "eleven trillion, one billion, one hundred one million, six thousand, one hundred one".