11101011001121 has 16 divisors (see below), whose sum is σ = 11587065714000. Its totient is φ = 10625234580480.

The previous prime is 11101011001109. The next prime is 11101011001133. The reversal of 11101011001121 is 12110011010111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11101011001109) and next prime (11101011001133).

It can be written as a sum of positive squares in 8 ways, for example, as 1117534408225 + 9983476592896 = 1057135^2 + 3159664^2 .

It is not a de Polignac number, because 11101011001121 - 2¹⁸ = 11101010738977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101031001121) 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, 35859005 + ... + 36167253.

It is an arithmetic number, because the mean of its divisors is an integer number (724191607125).

Almost surely, 2^{11101011001121} is an apocalyptic number.

It is an amenable number.

11101011001121 is a deficient number, since it is larger than the sum of its proper divisors (486054712879).

11101011001121 is a wasteful number, since it uses less digits than its factorization.

11101011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324916.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11101011001121 its reverse (12110011010111), we get a palindrome (23211022011232).

The spelling of 11101011001121 in words is "eleven trillion, one hundred one billion, eleven million, one thousand, one hundred twenty-one".