212102002022117 has 2 divisors, whose sum is σ = 212102002022118. Its totient is φ = 212102002022116.

The previous prime is 212102002022107. The next prime is 212102002022219. The reversal of 212102002022117 is 711220200201212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191067615843841 + 21034386178276 = 13822721^2 + 4586326^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102002022117 - 2¹⁰ = 212102002021093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212102002022092 and 212102002022101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212102002022107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051001011058 + 106051001011059.

It is an arithmetic number, because the mean of its divisors is an integer number (106051001011059).

Almost surely, 2^{212102002022117} is an apocalyptic number.

It is an amenable number.

212102002022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102002022117 is an equidigital number, since it uses as much as digits as its factorization.

212102002022117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 212102002022117 its reverse (711220200201212), we get a palindrome (923322202223329).

The spelling of 212102002022117 in words is "two hundred twelve trillion, one hundred two billion, two million, twenty-two thousand, one hundred seventeen".