11101010110121 has 24 divisors (see below), whose sum is σ = 11841762620760. Its totient is φ = 10404337784832.

The previous prime is 11101010110039. The next prime is 11101010110139. The reversal of 11101010110121 is 12101101010111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 909362496025 + 10191647614096 = 953605^2 + 3192436^2 .

It is not a de Polignac number, because 11101010110121 - 2³⁴ = 11083830240937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101010110321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143176061 + ... + 143253573.

It is an arithmetic number, because the mean of its divisors is an integer number (493406775865).

Almost surely, 2^{11101010110121} is an apocalyptic number.

It is an amenable number.

11101010110121 is a deficient number, since it is larger than the sum of its proper divisors (740752510639).

11101010110121 is a wasteful number, since it uses less digits than its factorization.

11101010110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79613 (or 79596 counting only the distinct ones).

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

Adding to 11101010110121 its reverse (12101101010111), we get a palindrome (23202111120232).

The spelling of 11101010110121 in words is "eleven trillion, one hundred one billion, ten million, one hundred ten thousand, one hundred twenty-one".