10099834584577 has 2 divisors, whose sum is σ = 10099834584578. Its totient is φ = 10099834584576.

The previous prime is 10099834584571. The next prime is 10099834584583. The reversal of 10099834584577 is 77548543899001.

It is a balanced prime because it is at equal distance from previous prime (10099834584571) and next prime (10099834584583).

It can be written as a sum of positive squares in only one way, i.e., 10098609864561 + 1224720016 = 3177831^2 + 34996^2 .

It is a cyclic number.

It is not a de Polignac number, because 10099834584577 - 2¹¹ = 10099834582529 is a prime.

It is a super-3 number, since 3×10099834584577³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10099834584571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5049917292288 + 5049917292289.

It is an arithmetic number, because the mean of its divisors is an integer number (5049917292289).

Almost surely, 2^{10099834584577} is an apocalyptic number.

It is an amenable number.

10099834584577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10099834584577 is an equidigital number, since it uses as much as digits as its factorization.

10099834584577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 304819200, while the sum is 70.

The spelling of 10099834584577 in words is "ten trillion, ninety-nine billion, eight hundred thirty-four million, five hundred eighty-four thousand, five hundred seventy-seven".