1100010505011 has 16 divisors (see below), whose sum is σ = 1610753644800. Its totient is φ = 662198714720.

The previous prime is 1100010504979. The next prime is 1100010505021. The reversal of 1100010505011 is 1105050100011.

It is a cyclic number.

It is not a de Polignac number, because 1100010505011 - 2⁵ = 1100010504979 is a prime.

It is a super-3 number, since 3×1100010505011³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1100010505021) 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, 111852975 + ... + 111862808.

It is an arithmetic number, because the mean of its divisors is an integer number (100672102800).

Almost surely, 2^{1100010505011} is an apocalyptic number.

1100010505011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100010505011 is a deficient number, since it is larger than the sum of its proper divisors (510743139789).

1100010505011 is a wasteful number, since it uses less digits than its factorization.

1100010505011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223715946.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 1100010505011 its reverse (1105050100011), we get a palindrome (2205060605022).

The spelling of 1100010505011 in words is "one trillion, one hundred billion, ten million, five hundred five thousand, eleven".