10212101221117 has 2 divisors, whose sum is σ = 10212101221118. Its totient is φ = 10212101221116.

The previous prime is 10212101221109. The next prime is 10212101221121. The reversal of 10212101221117 is 71112210121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8999484007396 + 1212617213721 = 2999914^2 + 1101189^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212101221117 - 2³ = 10212101221109 is a prime.

It is a super-2 number, since 2×10212101221117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212101221187) 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, 5106050610558 + 5106050610559.

It is an arithmetic number, because the mean of its divisors is an integer number (5106050610559).

Almost surely, 2^{10212101221117} is an apocalyptic number.

It is an amenable number.

10212101221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212101221117 is an equidigital number, since it uses as much as digits as its factorization.

10212101221117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10212101221117 its reverse (71112210121201), we get a palindrome (81324311342318).

The spelling of 10212101221117 in words is "ten trillion, two hundred twelve billion, one hundred one million, two hundred twenty-one thousand, one hundred seventeen".