102001102210001 has 2 divisors, whose sum is σ = 102001102210002. Its totient is φ = 102001102210000.

The previous prime is 102001102209997. The next prime is 102001102210003. The reversal of 102001102210001 is 100012201100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100091520930625 + 1909581279376 = 10004575^2 + 1381876^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001102210001 - 2² = 102001102209997 is a prime.

Together with 102001102210003, 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 (102001102210003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000551105000 + 51000551105001.

It is an arithmetic number, because the mean of its divisors is an integer number (51000551105001).

Almost surely, 2^{102001102210001} is an apocalyptic number.

It is an amenable number.

102001102210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001102210001 is an equidigital number, since it uses as much as digits as its factorization.

102001102210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001102210001 its reverse (100012201100201), we get a palindrome (202013303310202).

The spelling of 102001102210001 in words is "one hundred two trillion, one billion, one hundred two million, two hundred ten thousand, one".