10001120221153 has 2 divisors, whose sum is σ = 10001120221154. Its totient is φ = 10001120221152.

The previous prime is 10001120221091. The next prime is 10001120221163. The reversal of 10001120221153 is 35112202110001.

10001120221153 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., 9457697663569 + 543422557584 = 3075337^2 + 737172^2 .

It is an emirp because it is prime and its reverse (35112202110001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001120221153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001120221153.

It is not a weakly prime, because it can be changed into another prime (10001120221163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560110576 + 5000560110577.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560110577).

Almost surely, 2^{10001120221153} is an apocalyptic number.

It is an amenable number.

10001120221153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120221153 is an equidigital number, since it uses as much as digits as its factorization.

10001120221153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10001120221153 its reverse (35112202110001), we get a palindrome (45113322331154).

The spelling of 10001120221153 in words is "ten trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred fifty-three".