100133001112273 has 2 divisors, whose sum is σ = 100133001112274. Its totient is φ = 100133001112272.

The previous prime is 100133001112141. The next prime is 100133001112369. The reversal of 100133001112273 is 372211100331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99437433436224 + 695567676049 = 9971832^2 + 834007^2 .

It is an emirp because it is prime and its reverse (372211100331001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100133001112273 is a prime.

It is not a weakly prime, because it can be changed into another prime (100133001112973) 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 as a sum of consecutive naturals, namely, 50066500556136 + 50066500556137.

It is an arithmetic number, because the mean of its divisors is an integer number (50066500556137).

Almost surely, 2^{100133001112273} is an apocalyptic number.

It is an amenable number.

100133001112273 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133001112273 is an equidigital number, since it uses as much as digits as its factorization.

100133001112273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 100133001112273 its reverse (372211100331001), we get a palindrome (472344101443274).

The spelling of 100133001112273 in words is "one hundred trillion, one hundred thirty-three billion, one million, one hundred twelve thousand, two hundred seventy-three".