1004112121 has 2 divisors, whose sum is σ = 1004112122. Its totient is φ = 1004112120.

The previous prime is 1004112119. The next prime is 1004112143. The reversal of 1004112121 is 1212114001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 674181225 + 329930896 = 25965^2 + 18164^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004112121 - 2¹ = 1004112119 is a prime.

Together with 1004112119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1004112721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502056060 + 502056061.

It is an arithmetic number, because the mean of its divisors is an integer number (502056061).

Almost surely, 2^1004112121 is an apocalyptic number.

It is an amenable number.

1004112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004112121 is an equidigital number, since it uses as much as digits as its factorization.

1004112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1004112121 is about 31687.7282398092. The cubic root of 1004112121 is about 1001.3688324428.

Adding to 1004112121 its reverse (1212114001), we get a palindrome (2216226122).

The spelling of 1004112121 in words is "one billion, four million, one hundred twelve thousand, one hundred twenty-one".