100009998833 has 2 divisors, whose sum is σ = 100009998834. Its totient is φ = 100009998832.

The previous prime is 100009998827. The next prime is 100009998839. The reversal of 100009998833 is 338899900001.

It is a balanced prime because it is at equal distance from previous prime (100009998827) and next prime (100009998839).

It can be written as a sum of positive squares in only one way, i.e., 74450942449 + 25559056384 = 272857^2 + 159872^2 .

It is a cyclic number.

It is not a de Polignac number, because 100009998833 - 2⁸ = 100009998577 is a prime.

It is a super-2 number, since 2×100009998833² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100009998839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004999416 + 50004999417.

It is an arithmetic number, because the mean of its divisors is an integer number (50004999417).

Almost surely, 2^100009998833 is an apocalyptic number.

It is an amenable number.

100009998833 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009998833 is an equidigital number, since it uses as much as digits as its factorization.

100009998833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 50.

The spelling of 100009998833 in words is "one hundred billion, nine million, nine hundred ninety-eight thousand, eight hundred thirty-three".