10153262123201 has 2 divisors, whose sum is σ = 10153262123202. Its totient is φ = 10153262123200.

The previous prime is 10153262123167. The next prime is 10153262123239. The reversal of 10153262123201 is 10232126235101.

10153262123201 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., 7353864663601 + 2799397459600 = 2711801^2 + 1673140^2 .

It is an emirp because it is prime and its reverse (10232126235101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10153262123201 - 2²² = 10153257928897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10153262123401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5076631061600 + 5076631061601.

It is an arithmetic number, because the mean of its divisors is an integer number (5076631061601).

Almost surely, 2^{10153262123201} is an apocalyptic number.

It is an amenable number.

10153262123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10153262123201 is an equidigital number, since it uses as much as digits as its factorization.

10153262123201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10153262123201 its reverse (10232126235101), we get a palindrome (20385388358302).

The spelling of 10153262123201 in words is "ten trillion, one hundred fifty-three billion, two hundred sixty-two million, one hundred twenty-three thousand, two hundred one".