10012002121201 has 2 divisors, whose sum is σ = 10012002121202. Its totient is φ = 10012002121200.

The previous prime is 10012002121181. The next prime is 10012002121207. The reversal of 10012002121201 is 10212120021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9397658113600 + 614344007601 = 3065560^2 + 783801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012002121201 - 2¹⁵ = 10012002088433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012002121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006001060600 + 5006001060601.

It is an arithmetic number, because the mean of its divisors is an integer number (5006001060601).

Almost surely, 2^{10012002121201} is an apocalyptic number.

It is an amenable number.

10012002121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012002121201 is an equidigital number, since it uses as much as digits as its factorization.

10012002121201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10012002121201 its reverse (10212120021001), we get a palindrome (20224122142202).

The spelling of 10012002121201 in words is "ten trillion, twelve billion, two million, one hundred twenty-one thousand, two hundred one".