100144203232253 has 2 divisors, whose sum is σ = 100144203232254. Its totient is φ = 100144203232252.

The previous prime is 100144203232219. The next prime is 100144203232289. The reversal of 100144203232253 is 352232302441001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63201657302809 + 36942545929444 = 7949947^2 + 6078038^2 .

It is an emirp because it is prime and its reverse (352232302441001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100144203232253 - 2⁶ = 100144203232189 is a prime.

It is a super-2 number, since 2×100144203232253² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100144203232153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50072101616126 + 50072101616127.

It is an arithmetic number, because the mean of its divisors is an integer number (50072101616127).

Almost surely, 2^{100144203232253} is an apocalyptic number.

It is an amenable number.

100144203232253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144203232253 is an equidigital number, since it uses as much as digits as its factorization.

100144203232253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 100144203232253 its reverse (352232302441001), we get a palindrome (452376505673254).

The spelling of 100144203232253 in words is "one hundred trillion, one hundred forty-four billion, two hundred three million, two hundred thirty-two thousand, two hundred fifty-three".