2112212102113 has 2 divisors, whose sum is σ = 2112212102114. Its totient is φ = 2112212102112.

The previous prime is 2112212102107. The next prime is 2112212102123. The reversal of 2112212102113 is 3112012122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2043618920704 + 68593181409 = 1429552^2 + 261903^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112212102113 - 2¹³ = 2112212093921 is a prime.

It is a super-2 number, since 2×2112212102113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112212102123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056106051056 + 1056106051057.

It is an arithmetic number, because the mean of its divisors is an integer number (1056106051057).

Almost surely, 2^{2112212102113} is an apocalyptic number.

It is an amenable number.

2112212102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112212102113 is an equidigital number, since it uses as much as digits as its factorization.

2112212102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2112212102113 its reverse (3112012122112), we get a palindrome (5224224224225).

The spelling of 2112212102113 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred thirteen".