11101200101101 has 12 divisors (see below), whose sum is σ = 12919918836636. Its totient is φ = 9498353025920.

The previous prime is 11101200101087. The next prime is 11101200101129. The reversal of 11101200101101 is 10110100210111.

It can be written as a sum of positive squares in 2 ways, for example, as 4979168274025 + 6122031827076 = 2231405^2 + 2474274^2 .

It is not a de Polignac number, because 11101200101101 - 2²³ = 11101191712493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101200101161) 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 in 11 ways as a sum of consecutive naturals, for example, 2698393690 + ... + 2698397803.

It is an arithmetic number, because the mean of its divisors is an integer number (1076659903053).

Almost surely, 2^{11101200101101} is an apocalyptic number.

11101200101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101200101101 is a deficient number, since it is larger than the sum of its proper divisors (1818718735535).

11101200101101 is a wasteful number, since it uses less digits than its factorization.

11101200101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396791532 (or 5396791521 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11101200101101 its reverse (10110100210111), we get a palindrome (21211300311212).

The spelling of 11101200101101 in words is "eleven trillion, one hundred one billion, two hundred million, one hundred one thousand, one hundred one".