1101100110101 has 2 divisors, whose sum is σ = 1101100110102. Its totient is φ = 1101100110100.

The previous prime is 1101100110091. The next prime is 1101100110107. The reversal of 1101100110101 is 1010110011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1095225040900 + 5875069201 = 1046530^2 + 76649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101100110101 - 2³⁰ = 1100026368277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101100110107) 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, 550550055050 + 550550055051.

It is an arithmetic number, because the mean of its divisors is an integer number (550550055051).

Almost surely, 2^{1101100110101} is an apocalyptic number.

It is an amenable number.

1101100110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101100110101 is an equidigital number, since it uses as much as digits as its factorization.

1101100110101 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 1101100110101 its reverse (1010110011011), we get a palindrome (2111210121112).

It can be divided in two parts, 110110011010 and 1, that added together give a palindrome (110110011011).

The spelling of 1101100110101 in words is "one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred one".