11001100100121 has 12 divisors (see below), whose sum is σ = 16319950299172. Its totient is φ = 7135848713376.

The previous prime is 11001100100063. The next prime is 11001100100153. The reversal of 11001100100121 is 12100100110011.

It can be written as a sum of positive squares in 2 ways, for example, as 6000241312521 + 5000858787600 = 2449539^2 + 2236260^2 .

It is not a de Polignac number, because 11001100100121 - 2⁷ = 11001100099993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11001100100171) 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, 16518167986 + ... + 16518168651.

Almost surely, 2^{11001100100121} is an apocalyptic number.

It is an amenable number.

11001100100121 is a deficient number, since it is larger than the sum of its proper divisors (5318850199051).

11001100100121 is a wasteful number, since it uses less digits than its factorization.

11001100100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33036336680 (or 33036336677 counting only the distinct ones).

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

Adding to 11001100100121 its reverse (12100100110011), we get a palindrome (23101200210132).

The spelling of 11001100100121 in words is "eleven trillion, one billion, one hundred million, one hundred thousand, one hundred twenty-one".