1100511011006 has 32 divisors (see below), whose sum is σ = 1849652444160. Its totient is φ = 486674330400.

The previous prime is 1100511011003. The next prime is 1100511011023. The reversal of 1100511011006 is 6001101150011.

It is a super-2 number, since 2×1100511011006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100511011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12026855 + ... + 12118013.

It is an arithmetic number, because the mean of its divisors is an integer number (57801638880).

Almost surely, 2^{1100511011006} is an apocalyptic number.

1100511011006 is a deficient number, since it is larger than the sum of its proper divisors (749141433154).

1100511011006 is a wasteful number, since it uses less digits than its factorization.

1100511011006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106040.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1100511011006 its reverse (6001101150011), we get a palindrome (7101612161017).

It can be divided in two parts, 11005 and 11011006, that added together give a palindrome (11022011).

The spelling of 1100511011006 in words is "one trillion, one hundred billion, five hundred eleven million, eleven thousand, six".