2120011011113 has 2 divisors, whose sum is σ = 2120011011114. Its totient is φ = 2120011011112.

The previous prime is 2120011011061. The next prime is 2120011011127. The reversal of 2120011011113 is 3111101100212.

It is an a-pointer prime, because the next prime (2120011011127) can be obtained adding 2120011011113 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1195582604329 + 924428406784 = 1093427^2 + 961472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120011011113 - 2¹⁴ = 2120010994729 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120011016113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060005505556 + 1060005505557.

It is an arithmetic number, because the mean of its divisors is an integer number (1060005505557).

Almost surely, 2^{2120011011113} is an apocalyptic number.

It is an amenable number.

2120011011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120011011113 is an equidigital number, since it uses as much as digits as its factorization.

2120011011113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2120011011113 its reverse (3111101100212), we get a palindrome (5231112111325).

The spelling of 2120011011113 in words is "two trillion, one hundred twenty billion, eleven million, eleven thousand, one hundred thirteen".