11005101011 has 8 divisors (see below), whose sum is σ = 11653568784. Its totient is φ = 10356756480.

The previous prime is 11005101007. The next prime is 11005101049. The reversal of 11005101011 is 11010150011.

It is a happy number.

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 11005101011 - 2² = 11005101007 is a prime.

It is a super-2 number, since 2×11005101011² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11005100983 and 11005101001.

It is not an unprimeable number, because it can be changed into a prime (11005101061) 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 7 ways as a sum of consecutive naturals, for example, 204416 + ... + 252578.

It is an arithmetic number, because the mean of its divisors is an integer number (1456696098).

Almost surely, 2^11005101011 is an apocalyptic number.

11005101011 is a deficient number, since it is larger than the sum of its proper divisors (648467773).

11005101011 is a wasteful number, since it uses less digits than its factorization.

11005101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61621.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 11005101011 its reverse (11010150011), we get a palindrome (22015251022).

The spelling of 11005101011 in words is "eleven billion, five million, one hundred one thousand, eleven".