10010121017201 has 2 divisors, whose sum is σ = 10010121017202. Its totient is φ = 10010121017200.

The previous prime is 10010121017179. The next prime is 10010121017209. The reversal of 10010121017201 is 10271012101001.

10010121017201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9867131157601 + 142989859600 = 3141199^2 + 378140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010121017201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010121017201.

It is not a weakly prime, because it can be changed into another prime (10010121017209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005060508600 + 5005060508601.

It is an arithmetic number, because the mean of its divisors is an integer number (5005060508601).

Almost surely, 2^{10010121017201} is an apocalyptic number.

It is an amenable number.

10010121017201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010121017201 is an equidigital number, since it uses as much as digits as its factorization.

10010121017201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10010121017201 its reverse (10271012101001), we get a palindrome (20281133118202).

The spelling of 10010121017201 in words is "ten trillion, ten billion, one hundred twenty-one million, seventeen thousand, two hundred one".