11101112010001 has 8 divisors (see below), whose sum is σ = 11966311431144. Its totient is φ = 10237522264320.

The previous prime is 11101112009971. The next prime is 11101112010019. The reversal of 11101112010001 is 10001021110111.

It can be written as a sum of positive squares in 4 ways, for example, as 130436545600 + 10970675464401 = 361160^2 + 3312201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11101112010001 - 2⁷ = 11101112009873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11101112010001.

It is not an unprimeable number, because it can be changed into a prime (11101112010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402404536 + ... + 402432121.

It is an arithmetic number, because the mean of its divisors is an integer number (1495788928893).

Almost surely, 2^{11101112010001} is an apocalyptic number.

It is an amenable number.

11101112010001 is a deficient number, since it is larger than the sum of its proper divisors (865199421143).

11101112010001 is a wasteful number, since it uses less digits than its factorization.

11101112010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804837731.

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

Adding to 11101112010001 its reverse (10001021110111), we get a palindrome (21102133120112).

The spelling of 11101112010001 in words is "eleven trillion, one hundred one billion, one hundred twelve million, ten thousand, one".