11000020010001 has 48 divisors (see below), whose sum is σ = 16981786651200. Its totient is φ = 6311312916480.

The previous prime is 11000020009981. The next prime is 11000020010003. The reversal of 11000020010001 is 10001002000011.

It is not a de Polignac number, because 11000020010001 - 2¹⁰ = 11000020008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000020010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9151905 + ... + 10283841.

It is an arithmetic number, because the mean of its divisors is an integer number (353787221900).

Almost surely, 2^{11000020010001} is an apocalyptic number.

11000020010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000020010001 is a deficient number, since it is larger than the sum of its proper divisors (5981766641199).

11000020010001 is a wasteful number, since it uses less digits than its factorization.

11000020010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133390 (or 1133379 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11000020010001 its reverse (10001002000011), we get a palindrome (21001022010012).

The spelling of 11000020010001 in words is "eleven trillion, twenty million, ten thousand, one".