11101120200001 has 16 divisors (see below), whose sum is σ = 11971024203600. Its totient is φ = 10233504046080.

The previous prime is 11101120199963. The next prime is 11101120200007. The reversal of 11101120200001 is 10000202110111.

It can be written as a sum of positive squares in 8 ways, for example, as 81110470401 + 11020009729600 = 284799^2 + 3319640^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101120200001 - 2¹⁵ = 11101120167233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101120200007) 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, 43742925 + ... + 43995973.

It is an arithmetic number, because the mean of its divisors is an integer number (748189012725).

Almost surely, 2^{11101120200001} is an apocalyptic number.

It is an amenable number.

11101120200001 is a deficient number, since it is larger than the sum of its proper divisors (869904003599).

11101120200001 is a wasteful number, since it uses less digits than its factorization.

11101120200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257556.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101120200001 its reverse (10000202110111), we get a palindrome (21101322310112).

The spelling of 11101120200001 in words is "eleven trillion, one hundred one billion, one hundred twenty million, two hundred thousand, one".