10002010121 has 2 divisors, whose sum is σ = 10002010122. Its totient is φ = 10002010120.

The previous prime is 10002010091. The next prime is 10002010127. The reversal of 10002010121 is 12101020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9562688521 + 439321600 = 97789^2 + 20960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002010121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10002010099 and 10002010108.

It is not a weakly prime, because it can be changed into another prime (10002010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001005060 + 5001005061.

It is an arithmetic number, because the mean of its divisors is an integer number (5001005061).

Almost surely, 2^10002010121 is an apocalyptic number.

It is an amenable number.

10002010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002010121 is an equidigital number, since it uses as much as digits as its factorization.

10002010121 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.

Adding to 10002010121 its reverse (12101020001), we get a palindrome (22103030122).

The spelling of 10002010121 in words is "ten billion, two million, ten thousand, one hundred twenty-one".