1100001221011 has 16 divisors (see below), whose sum is σ = 1381296510720. Its totient is φ = 850977298080.

The previous prime is 1100001220963. The next prime is 1100001221017. The reversal of 1100001221011 is 1101221000011.

It is not a de Polignac number, because 1100001221011 - 2¹³ = 1100001212819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100001221017) 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, 51376816 + ... + 51398221.

It is an arithmetic number, because the mean of its divisors is an integer number (86331031920).

Almost surely, 2^{1100001221011} is an apocalyptic number.

1100001221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100001221011 is a deficient number, since it is larger than the sum of its proper divisors (281295289709).

1100001221011 is a wasteful number, since it uses less digits than its factorization.

1100001221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102775194.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100001221011 its reverse (1101221000011), we get a palindrome (2201222221022).

The spelling of 1100001221011 in words is "one trillion, one hundred billion, one million, two hundred twenty-one thousand, eleven".