1004121301121 has 2 divisors, whose sum is σ = 1004121301122. Its totient is φ = 1004121301120.

The previous prime is 1004121301087. The next prime is 1004121301151. The reversal of 1004121301121 is 1211031214001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792002103025 + 212119198096 = 889945^2 + 460564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1004121301121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004121301121.

It is not a weakly prime, because it can be changed into another prime (1004121301151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502060650560 + 502060650561.

It is an arithmetic number, because the mean of its divisors is an integer number (502060650561).

Almost surely, 2^{1004121301121} is an apocalyptic number.

It is an amenable number.

1004121301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004121301121 is an equidigital number, since it uses as much as digits as its factorization.

1004121301121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1004121301121 its reverse (1211031214001), we get a palindrome (2215152515122).

The spelling of 1004121301121 in words is "one trillion, four billion, one hundred twenty-one million, three hundred one thousand, one hundred twenty-one".