2120002122113 has 2 divisors, whose sum is σ = 2120002122114. Its totient is φ = 2120002122112.

The previous prime is 2120002122097. The next prime is 2120002122127. The reversal of 2120002122113 is 3112212000212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2078651713009 + 41350409104 = 1441753^2 + 203348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120002122113 - 2⁴ = 2120002122097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120002122091 and 2120002122100.

It is not a weakly prime, because it can be changed into another prime (2120002122143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060001061056 + 1060001061057.

It is an arithmetic number, because the mean of its divisors is an integer number (1060001061057).

Almost surely, 2^{2120002122113} is an apocalyptic number.

It is an amenable number.

2120002122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120002122113 is an equidigital number, since it uses as much as digits as its factorization.

2120002122113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2120002122113 its reverse (3112212000212), we get a palindrome (5232214122325).

The spelling of 2120002122113 in words is "two trillion, one hundred twenty billion, two million, one hundred twenty-two thousand, one hundred thirteen".