100010009993 has 2 divisors, whose sum is σ = 100010009994. Its totient is φ = 100010009992.

The previous prime is 100010009989. The next prime is 100010010031. The reversal of 100010009993 is 399900010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99595154569 + 414855424 = 315587^2 + 20368^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010009993 - 2² = 100010009989 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010009933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005004996 + 50005004997.

It is an arithmetic number, because the mean of its divisors is an integer number (50005004997).

Almost surely, 2^100010009993 is an apocalyptic number.

It is an amenable number.

100010009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010009993 is an equidigital number, since it uses as much as digits as its factorization.

100010009993 is an evil number, because the sum of its binary digits is even.

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

Adding to 100010009993 its reverse (399900010001), we get a palindrome (499910019994).

The spelling of 100010009993 in words is "one hundred billion, ten million, nine thousand, nine hundred ninety-three".