11122011001101 has 48 divisors (see below), whose sum is σ = 20266281822528. Its totient is φ = 5333232038400.

The previous prime is 11122011001067. The next prime is 11122011001117. The reversal of 11122011001101 is 10110011022111.

It is not a de Polignac number, because 11122011001101 - 2¹⁹ = 11122010476813 is a prime.

It is a super-5 number, since 5×11122011001101⁵ (a number of 66 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122011001901) 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, 264524220 + ... + 264566261.

It is an arithmetic number, because the mean of its divisors is an integer number (422214204636).

Almost surely, 2^{11122011001101} is an apocalyptic number.

11122011001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122011001101 is a deficient number, since it is larger than the sum of its proper divisors (9144270821427).

11122011001101 is a wasteful number, since it uses less digits than its factorization.

11122011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529090522 (or 529090515 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11122011001101 its reverse (10110011022111), we get a palindrome (21232022023212).

The spelling of 11122011001101 in words is "eleven trillion, one hundred twenty-two billion, eleven million, one thousand, one hundred one".