1101001001101 has 2 divisors, whose sum is σ = 1101001001102. Its totient is φ = 1101001001100.

The previous prime is 1101001001057. The next prime is 1101001001119. The reversal of 1101001001101 is 1011001001011.

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., 589562908900 + 511438092201 = 767830^2 + 715149^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101001001101 - 2¹⁹ = 1101000476813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101001005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500500550 + 550500500551.

It is an arithmetic number, because the mean of its divisors is an integer number (550500500551).

Almost surely, 2^{1101001001101} is an apocalyptic number.

It is an amenable number.

1101001001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001001101 is an equidigital number, since it uses as much as digits as its factorization.

1101001001101 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 1101001001101 its reverse (1011001001011), we get a palindrome (2112002002112).

The spelling of 1101001001101 in words is "one trillion, one hundred one billion, one million, one thousand, one hundred one".