11101101201121 has 8 divisors (see below), whose sum is σ = 11373319334664. Its totient is φ = 10828952570880.

The previous prime is 11101101201077. The next prime is 11101101201139. The reversal of 11101101201121 is 12110210110111.

It can be written as a sum of positive squares in 4 ways, for example, as 1947450951121 + 9153650250000 = 1395511^2 + 3025500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101101201121 - 2²⁹ = 11100564330209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101101204121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17052396 + ... + 17691421.

It is an arithmetic number, because the mean of its divisors is an integer number (1421664916833).

Almost surely, 2^{11101101201121} is an apocalyptic number.

It is an amenable number.

11101101201121 is a deficient number, since it is larger than the sum of its proper divisors (272218133543).

11101101201121 is an equidigital number, since it uses as much as digits as its factorization.

11101101201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34751651.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11101101201121 its reverse (12110210110111), we get a palindrome (23211311311232).

The spelling of 11101101201121 in words is "eleven trillion, one hundred one billion, one hundred one million, two hundred one thousand, one hundred twenty-one".