100032391524253 has 2 divisors, whose sum is σ = 100032391524254. Its totient is φ = 100032391524252.

The previous prime is 100032391524251. The next prime is 100032391524341. The reversal of 100032391524253 is 352425193230001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78940435134649 + 21091956389604 = 8884843^2 + 4592598^2 .

It is a cyclic number.

It is not a de Polignac number, because 100032391524253 - 2¹ = 100032391524251 is a prime.

It is a super-2 number, since 2×100032391524253² (a number of 29 digits) contains 22 as substring.

Together with 100032391524251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100032391524251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016195762126 + 50016195762127.

It is an arithmetic number, because the mean of its divisors is an integer number (50016195762127).

Almost surely, 2^{100032391524253} is an apocalyptic number.

It is an amenable number.

100032391524253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100032391524253 is an equidigital number, since it uses as much as digits as its factorization.

100032391524253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 100032391524253 in words is "one hundred trillion, thirty-two billion, three hundred ninety-one million, five hundred twenty-four thousand, two hundred fifty-three".