11001122120121 has 48 divisors (see below), whose sum is σ = 17193682883520. Its totient is φ = 6238360410240.

The previous prime is 11001122120111. The next prime is 11001122120123. The reversal of 11001122120121 is 12102122110011.

It is a happy number.

11001122120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11001122120121 - 2⁶ = 11001122120057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001122120121.

It is not an unprimeable number, because it can be changed into a prime (11001122120123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10776766 + ... + 11753336.

It is an arithmetic number, because the mean of its divisors is an integer number (358201726740).

Almost surely, 2^{11001122120121} is an apocalyptic number.

It is an amenable number.

11001122120121 is a deficient number, since it is larger than the sum of its proper divisors (6192560763399).

11001122120121 is a wasteful number, since it uses less digits than its factorization.

11001122120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977174 (or 977167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001122120121 its reverse (12102122110011), we get a palindrome (23103244230132).

The spelling of 11001122120121 in words is "eleven trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".