11001121121011 has 24 divisors (see below), whose sum is σ = 13365107149824. Its totient is φ = 9011796227280.

The previous prime is 11001121120949. The next prime is 11001121121119. The reversal of 11001121121011 is 11012112110011.

It is not a de Polignac number, because 11001121121011 - 2¹³ = 11001121112819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001121120982 and 11001121121000.

It is not an unprimeable number, because it can be changed into a prime (11001121161011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2885955 + ... + 5507356.

It is an arithmetic number, because the mean of its divisors is an integer number (556879464576).

Almost surely, 2^{11001121121011} is an apocalyptic number.

11001121121011 is a deficient number, since it is larger than the sum of its proper divisors (2363986028813).

11001121121011 is a wasteful number, since it uses less digits than its factorization.

11001121121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394511 (or 8394504 counting only the distinct ones).

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

Adding to 11001121121011 its reverse (11012112110011), we get a palindrome (22013233231022).

The spelling of 11001121121011 in words is "eleven trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, eleven".