1016002121 has 2 divisors, whose sum is σ = 1016002122. Its totient is φ = 1016002120.

The previous prime is 1016002109. The next prime is 1016002123. The reversal of 1016002121 is 1212006101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 880605625 + 135396496 = 29675^2 + 11636^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016002121 - 2¹⁰ = 1016001097 is a prime.

It is a Sophie Germain prime.

Together with 1016002123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1016002096 and 1016002105.

It is not a weakly prime, because it can be changed into another prime (1016002123) 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, 508001060 + 508001061.

It is an arithmetic number, because the mean of its divisors is an integer number (508001061).

Almost surely, 2^1016002121 is an apocalyptic number.

It is an amenable number.

1016002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016002121 is an equidigital number, since it uses as much as digits as its factorization.

1016002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1016002121 is about 31874.7881718452. The cubic root of 1016002121 is about 1005.3058386200.

Adding to 1016002121 its reverse (1212006101), we get a palindrome (2228008222).

The spelling of 1016002121 in words is "one billion, sixteen million, two thousand, one hundred twenty-one".