1101000001101 has 128 divisors (see below), whose sum is σ = 2080451788800. Its totient is φ = 498792764160.

The previous prime is 1101000001051. The next prime is 1101000001169. The reversal of 1101000001101 is 1011000001011.

It is not a de Polignac number, because 1101000001101 - 2⁶ = 1101000001037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101000001301) 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 in 127 ways as a sum of consecutive naturals, for example, 20913630 + ... + 20966208.

It is an arithmetic number, because the mean of its divisors is an integer number (16253529600).

Almost surely, 2^{1101000001101} is an apocalyptic number.

1101000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101000001101 is a deficient number, since it is larger than the sum of its proper divisors (979451787699).

1101000001101 is a wasteful number, since it uses less digits than its factorization.

1101000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52999.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101000001101 its reverse (1011000001011), we get a palindrome (2112000002112).

The spelling of 1101000001101 in words is "one trillion, one hundred one billion, one thousand, one hundred one".