2112012102133 has 2 divisors, whose sum is σ = 2112012102134. Its totient is φ = 2112012102132.

The previous prime is 2112012102121. The next prime is 2112012102203. The reversal of 2112012102133 is 3312012102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1809113771089 + 302898331044 = 1345033^2 + 550362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112012102133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112012102133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112012102113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056006051066 + 1056006051067.

It is an arithmetic number, because the mean of its divisors is an integer number (1056006051067).

Almost surely, 2^{2112012102133} is an apocalyptic number.

It is an amenable number.

2112012102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112012102133 is an equidigital number, since it uses as much as digits as its factorization.

2112012102133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2112012102133 its reverse (3312012102112), we get a palindrome (5424024204245).

The spelling of 2112012102133 in words is "two trillion, one hundred twelve billion, twelve million, one hundred two thousand, one hundred thirty-three".