11101101201 has 24 divisors (see below), whose sum is σ = 17032471560. Its totient is φ = 6943113216.

The previous prime is 11101101199. The next prime is 11101101211. The reversal of 11101101201 is 10210110111.

11101101201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1540955025 + 9560146176 = 39255^2 + 97776^2 .

It is not a de Polignac number, because 11101101201 - 2¹ = 11101101199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101101211) 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 23 ways as a sum of consecutive naturals, for example, 68016 + ... + 163793.

It is an arithmetic number, because the mean of its divisors is an integer number (709686315).

Almost surely, 2^11101101201 is an apocalyptic number.

It is an amenable number.

11101101201 is a deficient number, since it is larger than the sum of its proper divisors (5931370359).

11101101201 is a wasteful number, since it uses less digits than its factorization.

11101101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232145 (or 232142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101101201 its reverse (10210110111), we get a palindrome (21311211312).

The spelling of 11101101201 in words is "eleven billion, one hundred one million, one hundred one thousand, two hundred one".