210121010417 has 2 divisors, whose sum is σ = 210121010418. Its totient is φ = 210121010416.

The previous prime is 210121010329. The next prime is 210121010419. The reversal of 210121010417 is 714010121012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149116456336 + 61004554081 = 386156^2 + 246991^2 .

It is a cyclic number.

It is not a de Polignac number, because 210121010417 - 2¹⁰ = 210121009393 is a prime.

It is a super-2 number, since 2×210121010417² (a number of 23 digits) contains 22 as substring.

Together with 210121010419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (210121010419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105060505208 + 105060505209.

It is an arithmetic number, because the mean of its divisors is an integer number (105060505209).

Almost surely, 2^210121010417 is an apocalyptic number.

It is an amenable number.

210121010417 is a deficient number, since it is larger than the sum of its proper divisors (1).

210121010417 is an equidigital number, since it uses as much as digits as its factorization.

210121010417 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 20.

Adding to 210121010417 its reverse (714010121012), we get a palindrome (924131131429).

The spelling of 210121010417 in words is "two hundred ten billion, one hundred twenty-one million, ten thousand, four hundred seventeen".