10153262121201 has 12 divisors (see below), whose sum is σ = 14688077735760. Its totient is φ = 6758570027160.

The previous prime is 10153262121193. The next prime is 10153262121217. The reversal of 10153262121201 is 10212126235101.

It is a happy number.

10153262121201 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 32 + 621 + 2 + 1 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 10153262121201 - 2³ = 10153262121193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10153262123201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855942655 + ... + 855954516.

It is an arithmetic number, because the mean of its divisors is an integer number (1224006477980).

Almost surely, 2^{10153262121201} is an apocalyptic number.

It is an amenable number.

10153262121201 is a deficient number, since it is larger than the sum of its proper divisors (4534815614559).

10153262121201 is a wasteful number, since it uses less digits than its factorization.

10153262121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711897836 (or 1711897833 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10153262121201 its reverse (10212126235101), we get a palindrome (20365388356302).

The spelling of 10153262121201 in words is "ten trillion, one hundred fifty-three billion, two hundred sixty-two million, one hundred twenty-one thousand, two hundred one".