10002101122217 has 2 divisors, whose sum is σ = 10002101122218. Its totient is φ = 10002101122216.

The previous prime is 10002101122177. The next prime is 10002101122229. The reversal of 10002101122217 is 71222110120001.

It is a happy number.

10002101122217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9237684894736 + 764416227481 = 3039356^2 + 874309^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002101122217 - 2¹⁶ = 10002101056681 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002101122267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050561108 + 5001050561109.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050561109).

Almost surely, 2^{10002101122217} is an apocalyptic number.

It is an amenable number.

10002101122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002101122217 is an equidigital number, since it uses as much as digits as its factorization.

10002101122217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 10002101122217 its reverse (71222110120001), we get a palindrome (81224211242218).

The spelling of 10002101122217 in words is "ten trillion, two billion, one hundred one million, one hundred twenty-two thousand, two hundred seventeen".