102110122001 has 2 divisors, whose sum is σ = 102110122002. Its totient is φ = 102110122000.

The previous prime is 102110121959. The next prime is 102110122003. The reversal of 102110122001 is 100221011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101213059600 + 897062401 = 318140^2 + 29951^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110122001 - 2¹⁰ = 102110120977 is a prime.

Together with 102110122003, 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 (102110122003) 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, 51055061000 + 51055061001.

It is an arithmetic number, because the mean of its divisors is an integer number (51055061001).

Almost surely, 2^102110122001 is an apocalyptic number.

It is an amenable number.

102110122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110122001 is an equidigital number, since it uses as much as digits as its factorization.

102110122001 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 102110122001 its reverse (100221011201), we get a palindrome (202331133202).

The spelling of 102110122001 in words is "one hundred two billion, one hundred ten million, one hundred twenty-two thousand, one".