99807946201 has 2 divisors, whose sum is σ = 99807946202. Its totient is φ = 99807946200.

The previous prime is 99807946171. The next prime is 99807946211. The reversal of 99807946201 is 10264970899.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96286710601 + 3521235600 = 310301^2 + 59340^2 .

It is a cyclic number.

It is not a de Polignac number, because 99807946201 - 2¹⁵ = 99807913433 is a prime.

It is a super-3 number, since 3×99807946201³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (99807946211) 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 as a sum of consecutive naturals, namely, 49903973100 + 49903973101.

It is an arithmetic number, because the mean of its divisors is an integer number (49903973101).

Almost surely, 2^99807946201 is an apocalyptic number.

It is an amenable number.

99807946201 is a deficient number, since it is larger than the sum of its proper divisors (1).

99807946201 is an equidigital number, since it uses as much as digits as its factorization.

99807946201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 99807946201 in words is "ninety-nine billion, eight hundred seven million, nine hundred forty-six thousand, two hundred one".