11000110101201 has 48 divisors (see below), whose sum is σ = 17179459948560. Its totient is φ = 6742345443840.

The previous prime is 11000110101163. The next prime is 11000110101221. The reversal of 11000110101201 is 10210101100011.

It can be written as a sum of positive squares in 8 ways, for example, as 2209833875601 + 8790276225600 = 1486551^2 + 2964840^2 .

It is not a de Polignac number, because 11000110101201 - 2⁹ = 11000110100689 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11000110101221) 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 47 ways as a sum of consecutive naturals, for example, 88771155 + ... + 88894983.

It is an arithmetic number, because the mean of its divisors is an integer number (357905415595).

Almost surely, 2^{11000110101201} is an apocalyptic number.

It is an amenable number.

11000110101201 is a deficient number, since it is larger than the sum of its proper divisors (6179349847359).

11000110101201 is a wasteful number, since it uses less digits than its factorization.

11000110101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126866 (or 126863 counting only the distinct ones).

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

Adding to 11000110101201 its reverse (10210101100011), we get a palindrome (21210211201212).

The spelling of 11000110101201 in words is "eleven trillion, one hundred ten million, one hundred one thousand, two hundred one".