1100002101011 has 16 divisors (see below), whose sum is σ = 1212050837088. Its totient is φ = 989964192000.

The previous prime is 1100002101001. The next prime is 1100002101049. The reversal of 1100002101011 is 1101012000011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100002101011 - 2³⁸ = 825124194067 is a prime.

It is a super-2 number, since 2×1100002101011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100002101011.

It is not an unprimeable number, because it can be changed into a prime (1100002101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8460185 + ... + 8589221.

It is an arithmetic number, because the mean of its divisors is an integer number (75753177318).

Almost surely, 2^{1100002101011} is an apocalyptic number.

1100002101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100002101011 is a deficient number, since it is larger than the sum of its proper divisors (112048736077).

1100002101011 is a wasteful number, since it uses less digits than its factorization.

1100002101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136822.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100002101011 its reverse (1101012000011), we get a palindrome (2201014101022).

The spelling of 1100002101011 in words is "one trillion, one hundred billion, two million, one hundred one thousand, eleven".