10001002212241 has 2 divisors, whose sum is σ = 10001002212242. Its totient is φ = 10001002212240.

The previous prime is 10001002212211. The next prime is 10001002212251. The reversal of 10001002212241 is 14221220010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9876060464400 + 124941747841 = 3142620^2 + 353471^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001002212241 - 2²⁵ = 10000968657809 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001002212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000501106120 + 5000501106121.

It is an arithmetic number, because the mean of its divisors is an integer number (5000501106121).

Almost surely, 2^{10001002212241} is an apocalyptic number.

It is an amenable number.

10001002212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001002212241 is an equidigital number, since it uses as much as digits as its factorization.

10001002212241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10001002212241 its reverse (14221220010001), we get a palindrome (24222222222242).

The spelling of 10001002212241 in words is "ten trillion, one billion, two million, two hundred twelve thousand, two hundred forty-one".