110011001001101 has 2 divisors, whose sum is σ = 110011001001102. Its totient is φ = 110011001001100.

The previous prime is 110011001001079. The next prime is 110011001001131. The reversal of 110011001001101 is 101100100110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108300424749001 + 1710576252100 = 10406749^2 + 1307890^2 .

It is an emirp because it is prime and its reverse (101100100110011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110011001001101 - 2³⁴ = 109993821131917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110011001001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005500500550 + 55005500500551.

It is an arithmetic number, because the mean of its divisors is an integer number (55005500500551).

Almost surely, 2^{110011001001101} is an apocalyptic number.

It is an amenable number.

110011001001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011001001101 is an equidigital number, since it uses as much as digits as its factorization.

110011001001101 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 110011001001101 its reverse (101100100110011), we get a palindrome (211111101111112).

The spelling of 110011001001101 in words is "one hundred ten trillion, eleven billion, one million, one thousand, one hundred one".