1031000002121 has 2 divisors, whose sum is σ = 1031000002122. Its totient is φ = 1031000002120.

The previous prime is 1031000002093. The next prime is 1031000002141. The reversal of 1031000002121 is 1212000001301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 830219834896 + 200780167225 = 911164^2 + 448085^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031000002121 - 2³⁴ = 1013820132937 is a prime.

It is a super-2 number, since 2×1031000002121² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1031000002141) 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, 515500001060 + 515500001061.

It is an arithmetic number, because the mean of its divisors is an integer number (515500001061).

Almost surely, 2^{1031000002121} is an apocalyptic number.

It is an amenable number.

1031000002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031000002121 is an equidigital number, since it uses as much as digits as its factorization.

1031000002121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1031000002121 its reverse (1212000001301), we get a palindrome (2243000003422).

The spelling of 1031000002121 in words is "one trillion, thirty-one billion, two thousand, one hundred twenty-one".