10010212102117 has 2 divisors, whose sum is σ = 10010212102118. Its totient is φ = 10010212102116.

The previous prime is 10010212102097. The next prime is 10010212102301. The reversal of 10010212102117 is 71120121201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10003297514401 + 6914587716 = 3162799^2 + 83154^2 .

It is an emirp because it is prime and its reverse (71120121201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010212102117 - 2¹⁵ = 10010212069349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010212102094 and 10010212102103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010212102717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005106051058 + 5005106051059.

It is an arithmetic number, because the mean of its divisors is an integer number (5005106051059).

Almost surely, 2^{10010212102117} is an apocalyptic number.

It is an amenable number.

10010212102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010212102117 is an equidigital number, since it uses as much as digits as its factorization.

10010212102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10010212102117 its reverse (71120121201001), we get a palindrome (81130333303118).

The spelling of 10010212102117 in words is "ten trillion, ten billion, two hundred twelve million, one hundred two thousand, one hundred seventeen".