112001211211217 has 2 divisors, whose sum is σ = 112001211211218. Its totient is φ = 112001211211216.

The previous prime is 112001211211081. The next prime is 112001211211237. The reversal of 112001211211217 is 712112112100211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109247732282896 + 2753478928321 = 10452164^2 + 1659361^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001211211217 - 2²⁴ = 112001194434001 is a prime.

It is a super-2 number, since 2×112001211211217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112001211211192 and 112001211211201.

It is not a weakly prime, because it can be changed into another prime (112001211211237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000605605608 + 56000605605609.

It is an arithmetic number, because the mean of its divisors is an integer number (56000605605609).

Almost surely, 2^{112001211211217} is an apocalyptic number.

It is an amenable number.

112001211211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001211211217 is an equidigital number, since it uses as much as digits as its factorization.

112001211211217 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 23.

Adding to 112001211211217 its reverse (712112112100211), we get a palindrome (824113323311428).

The spelling of 112001211211217 in words is "one hundred twelve trillion, one billion, two hundred eleven million, two hundred eleven thousand, two hundred seventeen".