2112101120113 has 2 divisors, whose sum is σ = 2112101120114. Its totient is φ = 2112101120112.

The previous prime is 2112101120083. The next prime is 2112101120149. The reversal of 2112101120113 is 3110211012112.

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., 1708230702049 + 403870418064 = 1306993^2 + 635508^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112101120113 - 2³⁷ = 1974662166641 is a prime.

It is a super-2 number, since 2×2112101120113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112101120713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050560056 + 1056050560057.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050560057).

Almost surely, 2^{2112101120113} is an apocalyptic number.

It is an amenable number.

2112101120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112101120113 is an equidigital number, since it uses as much as digits as its factorization.

2112101120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2112101120113 its reverse (3110211012112), we get a palindrome (5222312132225).

The spelling of 2112101120113 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand, one hundred thirteen".