2112201121117 has 2 divisors, whose sum is σ = 2112201121118. Its totient is φ = 2112201121116.

The previous prime is 2112201121097. The next prime is 2112201121171. The reversal of 2112201121117 is 7111211022112.

Together with next prime (2112201121171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1917036854041 + 195164267076 = 1384571^2 + 441774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112201121117 - 2⁷ = 2112201120989 is a prime.

It is a super-2 number, since 2×2112201121117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112201127117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056100560558 + 1056100560559.

It is an arithmetic number, because the mean of its divisors is an integer number (1056100560559).

Almost surely, 2^{2112201121117} is an apocalyptic number.

It is an amenable number.

2112201121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112201121117 is an equidigital number, since it uses as much as digits as its factorization.

2112201121117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 2112201121117 its reverse (7111211022112), we get a palindrome (9223412143229).

The spelling of 2112201121117 in words is "two trillion, one hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred seventeen".