2102100011011 has 16 divisors (see below), whose sum is σ = 2822400016128. Its totient is φ = 1512000007200.

The previous prime is 2102100010999. The next prime is 2102100011017. The reversal of 2102100011011 is 1101100012012.

It is a cyclic number.

It is not a de Polignac number, because 2102100011011 - 2³⁹ = 1552344197123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102100011017) 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, 1049999005 + ... + 1050001006.

It is an arithmetic number, because the mean of its divisors is an integer number (176400001008).

Almost surely, 2^{2102100011011} is an apocalyptic number.

2102100011011 is a deficient number, since it is larger than the sum of its proper divisors (720300005117).

2102100011011 is a wasteful number, since it uses less digits than its factorization.

2102100011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100000042.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2102100011011 its reverse (1101100012012), we get a palindrome (3203200023023).

The spelling of 2102100011011 in words is "two trillion, one hundred two billion, one hundred million, eleven thousand, eleven".