100909100993 has 2 divisors, whose sum is σ = 100909100994. Its totient is φ = 100909100992.

The previous prime is 100909100989. The next prime is 100909101031. The reversal of 100909100993 is 399001909001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56222100544 + 44687000449 = 237112^2 + 211393^2 .

It is a cyclic number.

It is not a de Polignac number, because 100909100993 - 2² = 100909100989 is a prime.

It is a super-3 number, since 3×100909100993³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100909100993.

It is not a weakly prime, because it can be changed into another prime (100909100933) 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, 50454550496 + 50454550497.

It is an arithmetic number, because the mean of its divisors is an integer number (50454550497).

Almost surely, 2^100909100993 is an apocalyptic number.

It is an amenable number.

100909100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100909100993 is an equidigital number, since it uses as much as digits as its factorization.

100909100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 41.

The spelling of 100909100993 in words is "one hundred billion, nine hundred nine million, one hundred thousand, nine hundred ninety-three".