100010011098953 has 2 divisors, whose sum is σ = 100010011098954. Its totient is φ = 100010011098952.

The previous prime is 100010011098919. The next prime is 100010011098961. The reversal of 100010011098953 is 359890110010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62323635499024 + 37686375599929 = 7894532^2 + 6138923^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010011098953 - 2¹² = 100010011094857 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010011398953) 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, 50005005549476 + 50005005549477.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005549477).

Almost surely, 2^{100010011098953} is an apocalyptic number.

It is an amenable number.

100010011098953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010011098953 is an equidigital number, since it uses as much as digits as its factorization.

100010011098953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 38.

The spelling of 100010011098953 in words is "one hundred trillion, ten billion, eleven million, ninety-eight thousand, nine hundred fifty-three".