10666072120201 has 2 divisors, whose sum is σ = 10666072120202. Its totient is φ = 10666072120200.

The previous prime is 10666072120189. The next prime is 10666072120243. The reversal of 10666072120201 is 10202127066601.

10666072120201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10250722805625 + 415349314576 = 3201675^2 + 644476^2 .

It is a cyclic number.

It is not a de Polignac number, because 10666072120201 - 2¹³ = 10666072112009 is a prime.

It is a super-2 number, since 2×10666072120201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10666072120271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5333036060100 + 5333036060101.

It is an arithmetic number, because the mean of its divisors is an integer number (5333036060101).

Almost surely, 2^{10666072120201} is an apocalyptic number.

It is an amenable number.

10666072120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10666072120201 is an equidigital number, since it uses as much as digits as its factorization.

10666072120201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 10666072120201 its reverse (10202127066601), we get a palindrome (20868199186802).

The spelling of 10666072120201 in words is "ten trillion, six hundred sixty-six billion, seventy-two million, one hundred twenty thousand, two hundred one".