98124100989121 has 9 divisors (see below), whose sum is σ = 98391578478921. Its totient is φ = 97857348751152.

The previous prime is 98124100989119. The next prime is 98124100989137. The reversal of 98124100989121 is 12198900142189.

The square root of 98124100989121 is 9905761.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2397179521 + 98121703809600 = 48961^2 + 9905640^2 .

It is not a de Polignac number, because 98124100989121 - 2¹ = 98124100989119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98124100989521) 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 in 8 ways as a sum of consecutive naturals, for example, 3694835575 + ... + 3694862131.

It is an arithmetic number, because the mean of its divisors is an integer number (10932397608769).

Almost surely, 2^{98124100989121} is an apocalyptic number.

98124100989121 is the 9905761-st square number.

98124100989121 is the 4952881-st centered octagonal number.

It is an amenable number.

98124100989121 is a deficient number, since it is larger than the sum of its proper divisors (267477489800).

98124100989121 is an frugal number, since it uses more digits than its factorization.

98124100989121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53860 (or 26930 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 55.

The spelling of 98124100989121 in words is "ninety-eight trillion, one hundred twenty-four billion, one hundred million, nine hundred eighty-nine thousand, one hundred twenty-one".