102016001 has 2 divisors, whose sum is σ = 102016002. Its totient is φ = 102016000.

The previous prime is 102015923. The next prime is 102016003. The reversal of 102016001 is 100610201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58125376 + 43890625 = 7624^2 + 6625^2 .

It is an emirp because it is prime and its reverse (100610201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102016001 - 2¹⁴ = 101999617 is a prime.

Together with 102016003, 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 (102016003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51008000 + 51008001.

It is an arithmetic number, because the mean of its divisors is an integer number (51008001).

Almost surely, 2^102016001 is an apocalyptic number.

It is an amenable number.

102016001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102016001 is an equidigital number, since it uses as much as digits as its factorization.

102016001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102016001 is about 10100.2970748389. The cubic root of 102016001 is about 467.2573035620.

Adding to 102016001 its reverse (100610201), we get a palindrome (202626202).

The spelling of 102016001 in words is "one hundred two million, sixteen thousand, one".