10101002121241 has 2 divisors, whose sum is σ = 10101002121242. Its totient is φ = 10101002121240.

The previous prime is 10101002121167. The next prime is 10101002121263. The reversal of 10101002121241 is 14212120010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8805967225225 + 1295034896016 = 2967485^2 + 1137996^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101002121241 - 2¹¹ = 10101002119193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101000121241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050501060620 + 5050501060621.

It is an arithmetic number, because the mean of its divisors is an integer number (5050501060621).

Almost surely, 2^{10101002121241} is an apocalyptic number.

It is an amenable number.

10101002121241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101002121241 is an equidigital number, since it uses as much as digits as its factorization.

10101002121241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10101002121241 its reverse (14212120010101), we get a palindrome (24313122131342).

The spelling of 10101002121241 in words is "ten trillion, one hundred one billion, two million, one hundred twenty-one thousand, two hundred forty-one".