1101101110101 has 12 divisors (see below), whose sum is σ = 1590491960928. Its totient is φ = 734061600744.

The previous prime is 1101101110099. The next prime is 1101101110111. The reversal of 1101101110101 is 1010111011011.

It is not a de Polignac number, because 1101101110101 - 2¹ = 1101101110099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101110111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936826 + ... + 1754948.

It is an arithmetic number, because the mean of its divisors is an integer number (132540996744).

Almost surely, 2^{1101101110101} is an apocalyptic number.

It is an amenable number.

1101101110101 is a deficient number, since it is larger than the sum of its proper divisors (489390850827).

1101101110101 is a wasteful number, since it uses less digits than its factorization.

1101101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967672 (or 967669 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1101101110101 its reverse (1010111011011), we get a palindrome (2111212121112).

It can be divided in two parts, 11011011 and 10101, that multiplied together give a palindrome (111222222111).

The spelling of 1101101110101 in words is "one trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred one".