212112170012201 has 2 divisors, whose sum is σ = 212112170012202. Its totient is φ = 212112170012200.

The previous prime is 212112170012161. The next prime is 212112170012233. The reversal of 212112170012201 is 102210071211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131946022874176 + 80166147138025 = 11486776^2 + 8953555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212112170012201 is a prime.

It is a super-2 number, since 2×212112170012201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212112170012251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056085006100 + 106056085006101.

It is an arithmetic number, because the mean of its divisors is an integer number (106056085006101).

Almost surely, 2^{212112170012201} is an apocalyptic number.

It is an amenable number.

212112170012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112170012201 is an equidigital number, since it uses as much as digits as its factorization.

212112170012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

The spelling of 212112170012201 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred seventy million, twelve thousand, two hundred one".