100122303218953 has 2 divisors, whose sum is σ = 100122303218954. Its totient is φ = 100122303218952.

The previous prime is 100122303218939. The next prime is 100122303218981. The reversal of 100122303218953 is 359812303221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86396523070729 + 13725780148224 = 9294973^2 + 3704832^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122303218953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122303218983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061151609476 + 50061151609477.

It is an arithmetic number, because the mean of its divisors is an integer number (50061151609477).

Almost surely, 2^{100122303218953} is an apocalyptic number.

It is an amenable number.

100122303218953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122303218953 is an equidigital number, since it uses as much as digits as its factorization.

100122303218953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

Adding to 100122303218953 its reverse (359812303221001), we get a palindrome (459934606439954).

The spelling of 100122303218953 in words is "one hundred trillion, one hundred twenty-two billion, three hundred three million, two hundred eighteen thousand, nine hundred fifty-three".