11211121111201 has 12 divisors (see below), whose sum is σ = 12325605511716. Its totient is φ = 10189746744320.

The previous prime is 11211121111181. The next prime is 11211121111231. The reversal of 11211121111201 is 10211112111211.

It can be written as a sum of positive squares in 2 ways, for example, as 10456265968225 + 754855142976 = 3233615^2 + 868824^2 .

It is not a de Polignac number, because 11211121111201 - 2¹⁵ = 11211121078433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211121111231) 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 11 ways as a sum of consecutive naturals, for example, 9348316 + ... + 10479181.

It is an arithmetic number, because the mean of its divisors is an integer number (1027133792643).

Almost surely, 2^{11211121111201} is an apocalyptic number.

11211121111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211121111201 is a deficient number, since it is larger than the sum of its proper divisors (1114484400515).

11211121111201 is a wasteful number, since it uses less digits than its factorization.

11211121111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19832192 (or 19832181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 11211121111201 its reverse (10211112111211), we get a palindrome (21422233222412).

The spelling of 11211121111201 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".