11120101110001 has 16 divisors (see below), whose sum is σ = 11994629003280. Its totient is φ = 10248308962560.

The previous prime is 11120101109969. The next prime is 11120101110007. The reversal of 11120101110001 is 10001110102111.

It can be written as a sum of positive squares in 8 ways, for example, as 324670900401 + 10795430209600 = 569799^2 + 3285640^2 .

It is a cyclic number.

It is not a de Polignac number, because 11120101110001 - 2⁵ = 11120101109969 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 11120101110001.

It is not an unprimeable number, because it can be changed into a prime (11120101110007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164491515 + ... + 164559103.

It is an arithmetic number, because the mean of its divisors is an integer number (749664312705).

Almost surely, 2^{11120101110001} is an apocalyptic number.

It is an amenable number.

11120101110001 is a deficient number, since it is larger than the sum of its proper divisors (874527893279).

11120101110001 is a wasteful number, since it uses less digits than its factorization.

11120101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87636.

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

Adding to 11120101110001 its reverse (10001110102111), we get a palindrome (21121211212112).

The spelling of 11120101110001 in words is "eleven trillion, one hundred twenty billion, one hundred one million, one hundred ten thousand, one".