1100506011116 has 24 divisors (see below), whose sum is σ = 1935718513344. Its totient is φ = 547449916160.

The previous prime is 1100506011109. The next prime is 1100506011119. The reversal of 1100506011116 is 6111106050011.

It is a happy number.

It is a super-2 number, since 2×1100506011116² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100506011091 and 1100506011100.

It is not an unprimeable number, because it can be changed into a prime (1100506011119) 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 7 ways as a sum of consecutive naturals, for example, 96740 + ... + 1486731.

It is an arithmetic number, because the mean of its divisors is an integer number (80654938056).

Almost surely, 2^{1100506011116} is an apocalyptic number.

It is an amenable number.

1100506011116 is a deficient number, since it is larger than the sum of its proper divisors (835212502228).

1100506011116 is a wasteful number, since it uses less digits than its factorization.

1100506011116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584361 (or 1584359 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 1100506011116 in words is "one trillion, one hundred billion, five hundred six million, eleven thousand, one hundred sixteen".