2102110013 has 2 divisors, whose sum is σ = 2102110014. Its totient is φ = 2102110012.

The previous prime is 2102110007. The next prime is 2102110039. The reversal of 2102110013 is 3100112012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1946309689 + 155800324 = 44117^2 + 12482^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102110013 - 2²⁶ = 2035001149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102109976 and 2102110003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102112013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051055006 + 1051055007.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055007).

Almost surely, 2^2102110013 is an apocalyptic number.

It is an amenable number.

2102110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102110013 is an equidigital number, since it uses as much as digits as its factorization.

2102110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2102110013 is about 45848.7732987481. The cubic root of 2102110013 is about 1281.0079164504.

Adding to 2102110013 its reverse (3100112012), we get a palindrome (5202222025).

The spelling of 2102110013 in words is "two billion, one hundred two million, one hundred ten thousand, thirteen".