11001002221121 has 48 divisors (see below), whose sum is σ = 13245603936768. Its totient is φ = 9020502028800.

The previous prime is 11001002221109. The next prime is 11001002221129. The reversal of 11001002221121 is 12112220010011.

It is not a de Polignac number, because 11001002221121 - 2⁶ = 11001002221057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001002221096 and 11001002221105.

It is not an unprimeable number, because it can be changed into a prime (11001002221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61410935 + ... + 61589811.

It is an arithmetic number, because the mean of its divisors is an integer number (275950082016).

Almost surely, 2^{11001002221121} is an apocalyptic number.

11001002221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001002221121 is a deficient number, since it is larger than the sum of its proper divisors (2244601715647).

11001002221121 is a wasteful number, since it uses less digits than its factorization.

11001002221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179142 (or 179039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001002221121 its reverse (12112220010011), we get a palindrome (23113222231132).

The spelling of 11001002221121 in words is "eleven trillion, one billion, two million, two hundred twenty-one thousand, one hundred twenty-one".