99752573101 has 2 divisors, whose sum is σ = 99752573102. Its totient is φ = 99752573100.

The previous prime is 99752573077. The next prime is 99752573111. The reversal of 99752573101 is 10137525799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76659211876 + 23093361225 = 276874^2 + 151965^2 .

It is a cyclic number.

It is not a de Polignac number, because 99752573101 - 2¹⁷ = 99752442029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99752573111) 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, 49876286550 + 49876286551.

It is an arithmetic number, because the mean of its divisors is an integer number (49876286551).

Almost surely, 2^99752573101 is an apocalyptic number.

It is an amenable number.

99752573101 is a deficient number, since it is larger than the sum of its proper divisors (1).

99752573101 is an equidigital number, since it uses as much as digits as its factorization.

99752573101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 595350, while the sum is 49.

The spelling of 99752573101 in words is "ninety-nine billion, seven hundred fifty-two million, five hundred seventy-three thousand, one hundred one".