11000002101101 has 6 divisors (see below), whose sum is σ = 11911244878890. Its totient is φ = 10153848093168.

The previous prime is 11000002101089. The next prime is 11000002101103. The reversal of 11000002101101 is 10110120000011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 163567669225 + 10836434431876 = 404435^2 + 3291874^2 .

It is not a de Polignac number, because 11000002101101 - 2¹⁸ = 11000001838957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000002101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32544384746 + ... + 32544385083.

It is an arithmetic number, because the mean of its divisors is an integer number (1985207479815).

Almost surely, 2^{11000002101101} is an apocalyptic number.

It is an amenable number.

11000002101101 is a deficient number, since it is larger than the sum of its proper divisors (911242777789).

11000002101101 is an equidigital number, since it uses as much as digits as its factorization.

11000002101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65088769855 (or 65088769842 counting only the distinct ones).

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

Adding to 11000002101101 its reverse (10110120000011), we get a palindrome (21110122101112).

The spelling of 11000002101101 in words is "eleven trillion, two million, one hundred one thousand, one hundred one".