100001009993 has 2 divisors, whose sum is σ = 100001009994. Its totient is φ = 100001009992.

The previous prime is 100001009987. The next prime is 100001010013. The reversal of 100001009993 is 399900100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95977898809 + 4023111184 = 309803^2 + 63428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001009993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001009293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000504996 + 50000504997.

It is an arithmetic number, because the mean of its divisors is an integer number (50000504997).

Almost surely, 2^100001009993 is an apocalyptic number.

It is an amenable number.

100001009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001009993 is an equidigital number, since it uses as much as digits as its factorization.

100001009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 32.

Adding to 100001009993 its reverse (399900100001), we get a palindrome (499901109994).

The spelling of 100001009993 in words is "one hundred billion, one million, nine thousand, nine hundred ninety-three".