2102111002013 has 16 divisors (see below), whose sum is σ = 2367290949120. Its totient is φ = 1849282982400.

The previous prime is 2102111002003. The next prime is 2102111002027. The reversal of 2102111002013 is 3102001112012.

It is a cyclic number.

It is not a de Polignac number, because 2102111002013 - 2²⁶ = 2102043893149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102111002003) 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, 8393753 + ... + 8640561.

It is an arithmetic number, because the mean of its divisors is an integer number (147955684320).

Almost surely, 2^{2102111002013} is an apocalyptic number.

It is an amenable number.

2102111002013 is a deficient number, since it is larger than the sum of its proper divisors (265179947107).

2102111002013 is a wasteful number, since it uses less digits than its factorization.

2102111002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271828.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2102111002013 its reverse (3102001112012), we get a palindrome (5204112114025).

The spelling of 2102111002013 in words is "two trillion, one hundred two billion, one hundred eleven million, two thousand, thirteen".