100123032953 has 2 divisors, whose sum is σ = 100123032954. Its totient is φ = 100123032952.

The previous prime is 100123032901. The next prime is 100123032983. The reversal of 100123032953 is 359230321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78370322809 + 21752710144 = 279947^2 + 147488^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123032953 - 2¹⁸ = 100122770809 is a prime.

It is not a weakly prime, because it can be changed into another prime (100123032983) 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, 50061516476 + 50061516477.

It is an arithmetic number, because the mean of its divisors is an integer number (50061516477).

Almost surely, 2^100123032953 is an apocalyptic number.

It is an amenable number.

100123032953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123032953 is an equidigital number, since it uses as much as digits as its factorization.

100123032953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

Adding to 100123032953 its reverse (359230321001), we get a palindrome (459353353954).

The spelling of 100123032953 in words is "one hundred billion, one hundred twenty-three million, thirty-two thousand, nine hundred fifty-three".