2112012102113 has 2 divisors, whose sum is σ = 2112012102114. Its totient is φ = 2112012102112.

The previous prime is 2112012102107. The next prime is 2112012102121. The reversal of 2112012102113 is 3112012102112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1908423442849 + 203588659264 = 1381457^2 + 451208^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112012102113 - 2²⁴ = 2111995324897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112012102091 and 2112012102100.

It is not a weakly prime, because it can be changed into another prime (2112012102133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056006051056 + 1056006051057.

It is an arithmetic number, because the mean of its divisors is an integer number (1056006051057).

Almost surely, 2^{2112012102113} is an apocalyptic number.

It is an amenable number.

2112012102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112012102113 is an equidigital number, since it uses as much as digits as its factorization.

2112012102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2112012102113 its reverse (3112012102112), we get a palindrome (5224024204225).

Subtracting 2112012102113 from its reverse (3112012102112), we obtain a palindrome (999999999999).

The spelling of 2112012102113 in words is "two trillion, one hundred twelve billion, twelve million, one hundred two thousand, one hundred thirteen".