11000012102001 has 48 divisors (see below), whose sum is σ = 17356955616000. Its totient is φ = 6672277587456.

The previous prime is 11000012101979. The next prime is 11000012102017. The reversal of 11000012102001 is 10020121000011.

It is a happy number.

It is not a de Polignac number, because 11000012102001 - 2⁶ = 11000012101937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11000012102081) 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 47 ways as a sum of consecutive naturals, for example, 4477650 + ... + 6484548.

It is an arithmetic number, because the mean of its divisors is an integer number (361603242000).

Almost surely, 2^{11000012102001} is an apocalyptic number.

It is an amenable number.

11000012102001 is a deficient number, since it is larger than the sum of its proper divisors (6356943513999).

11000012102001 is a wasteful number, since it uses less digits than its factorization.

11000012102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007590 (or 2007587 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000012102001 its reverse (10020121000011), we get a palindrome (21020133102012).

The spelling of 11000012102001 in words is "eleven trillion, twelve million, one hundred two thousand, one".