1000102121 has 2 divisors, whose sum is σ = 1000102122. Its totient is φ = 1000102120.

The previous prime is 1000102063. The next prime is 1000102133. The reversal of 1000102121 is 1212010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 896164096 + 103938025 = 29936^2 + 10195^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102121 - 2⁶ = 1000102057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000102099 and 1000102108.

It is not a weakly prime, because it can be changed into another prime (1000102171) 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, 500051060 + 500051061.

It is an arithmetic number, because the mean of its divisors is an integer number (500051061).

Almost surely, 2^1000102121 is an apocalyptic number.

It is an amenable number.

1000102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102121 is an equidigital number, since it uses as much as digits as its factorization.

1000102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1000102121 is about 31624.3912352475. The cubic root of 1000102121 is about 1000.0340391747.

Adding to 1000102121 its reverse (1212010001), we get a palindrome (2212112122).

The spelling of 1000102121 in words is "one billion, one hundred two thousand, one hundred twenty-one".