2120112102133 has 2 divisors, whose sum is σ = 2120112102134. Its totient is φ = 2120112102132.

The previous prime is 2120112102107. The next prime is 2120112102247. The reversal of 2120112102133 is 3312012110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1432768302289 + 687343799844 = 1196983^2 + 829062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120112102133 is a prime.

It is a super-2 number, since 2×2120112102133² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2120112102133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120112172133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060056051066 + 1060056051067.

It is an arithmetic number, because the mean of its divisors is an integer number (1060056051067).

Almost surely, 2^{2120112102133} is an apocalyptic number.

It is an amenable number.

2120112102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120112102133 is an equidigital number, since it uses as much as digits as its factorization.

2120112102133 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2120112102133 its reverse (3312012110212), we get a palindrome (5432124212345).

The spelling of 2120112102133 in words is "two trillion, one hundred twenty billion, one hundred twelve million, one hundred two thousand, one hundred thirty-three".