10100000009993 has 2 divisors, whose sum is σ = 10100000009994. Its totient is φ = 10100000009992.

The previous prime is 10100000009963. The next prime is 10100000010013. The reversal of 10100000009993 is 39990000000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5279002521664 + 4820997488329 = 2297608^2 + 2195677^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100000009993 - 2¹⁴ = 10099999993609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100000009963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000004996 + 5050000004997.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000004997).

Almost surely, 2^{10100000009993} is an apocalyptic number.

It is an amenable number.

10100000009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000009993 is an equidigital number, since it uses as much as digits as its factorization.

10100000009993 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.

The spelling of 10100000009993 in words is "ten trillion, one hundred billion, nine thousand, nine hundred ninety-three".