11101002121121 has 16 divisors (see below), whose sum is σ = 12283034462208. Its totient is φ = 9947831048400.

The previous prime is 11101002121109. The next prime is 11101002121147. The reversal of 11101002121121 is 12112120010111.

11101002121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11101002121121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101002121096 and 11101002121105.

It is not an unprimeable number, because it can be changed into a prime (11101002121021) 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, 2887976 + ... + 5526518.

It is an arithmetic number, because the mean of its divisors is an integer number (767689653888).

Almost surely, 2^{11101002121121} is an apocalyptic number.

11101002121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101002121121 is a deficient number, since it is larger than the sum of its proper divisors (1182032341087).

11101002121121 is a wasteful number, since it uses less digits than its factorization.

11101002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644012.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11101002121121 its reverse (12112120010111), we get a palindrome (23213122131232).

The spelling of 11101002121121 in words is "eleven trillion, one hundred one billion, two million, one hundred twenty-one thousand, one hundred twenty-one".