10002101122241 has 2 divisors, whose sum is σ = 10002101122242. Its totient is φ = 10002101122240.

The previous prime is 10002101122229. The next prime is 10002101122243. The reversal of 10002101122241 is 14222110120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6619665182641 + 3382435939600 = 2572871^2 + 1839140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002101122241 - 2⁶ = 10002101122177 is a prime.

Together with 10002101122243, 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 (10002101122243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050561120 + 5001050561121.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050561121).

Almost surely, 2^{10002101122241} is an apocalyptic number.

It is an amenable number.

10002101122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002101122241 is an equidigital number, since it uses as much as digits as its factorization.

10002101122241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10002101122241 its reverse (14222110120001), we get a palindrome (24224211242242).

The spelling of 10002101122241 in words is "ten trillion, two billion, one hundred one million, one hundred twenty-two thousand, two hundred forty-one".