97125099201 has 81 divisors (see below), whose sum is σ = 155632797801. Its totient is φ = 58340692800.

The previous prime is 97125099151. The next prime is 97125099209. The reversal of 97125099201 is 10299052179.

The square root of 97125099201 is 311649.

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 68301209025 + 28823890176 = 261345^2 + 169776^2 .

It is not a de Polignac number, because 97125099201 - 2⁹ = 97125098689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97125099209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 741412906 + ... + 741413036.

Almost surely, 2^97125099201 is an apocalyptic number.

97125099201 is the 311649-th square number.

97125099201 is the 155825-th centered octagonal number.

It is an amenable number.

97125099201 is a deficient number, since it is larger than the sum of its proper divisors (58507698600).

97125099201 is a wasteful number, since it uses less digits than its factorization.

97125099201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 97125099201 in words is "ninety-seven billion, one hundred twenty-five million, ninety-nine thousand, two hundred one".