1001101101101 has 2 divisors, whose sum is σ = 1001101101102. Its totient is φ = 1001101101100.

The previous prime is 1001101101073. The next prime is 1001101101127. The reversal of 1001101101101 is 1011011011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994816734025 + 6284367076 = 997405^2 + 79274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001101101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101101701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550550550 + 500550550551.

It is an arithmetic number, because the mean of its divisors is an integer number (500550550551).

Almost surely, 2^{1001101101101} is an apocalyptic number.

It is an amenable number.

1001101101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101101101 is an equidigital number, since it uses as much as digits as its factorization.

1001101101101 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 8.

Adding to 1001101101101 its reverse (1011011011001), we get a palindrome (2012112112102).

It can be divided in two parts, 1001 and 101101101, that multiplied together give a palindrome (101202202101).

The spelling of 1001101101101 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, one hundred one".