2101002000011 has 16 divisors (see below), whose sum is σ = 2151021312000. Its totient is φ = 2051206146528.

The previous prime is 2101001999947. The next prime is 2101002000107. The reversal of 2101002000011 is 1100002001012.

It is a cyclic number.

It is not a de Polignac number, because 2101002000011 - 2⁶ = 2101001999947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101002003011) 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 15 ways as a sum of consecutive naturals, for example, 184308890 + ... + 184320288.

It is an arithmetic number, because the mean of its divisors is an integer number (134438832000).

Almost surely, 2^{2101002000011} is an apocalyptic number.

2101002000011 is a deficient number, since it is larger than the sum of its proper divisors (50019311989).

2101002000011 is a wasteful number, since it uses less digits than its factorization.

2101002000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101002000011 its reverse (1100002001012), we get a palindrome (3201004001023).

The spelling of 2101002000011 in words is "two trillion, one hundred one billion, two million, eleven", and thus it is an aban number.