10005100060093 has 2 divisors, whose sum is σ = 10005100060094. Its totient is φ = 10005100060092.

The previous prime is 10005100060027. The next prime is 10005100060157. The reversal of 10005100060093 is 39006000150001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8714906218404 + 1290193841689 = 2952102^2 + 1135867^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005100060093 - 2²¹ = 10005097962941 is a prime.

It is a super-2 number, since 2×10005100060093² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005100060393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002550030046 + 5002550030047.

It is an arithmetic number, because the mean of its divisors is an integer number (5002550030047).

Almost surely, 2^{10005100060093} is an apocalyptic number.

It is an amenable number.

10005100060093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005100060093 is an equidigital number, since it uses as much as digits as its factorization.

10005100060093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 25.

The spelling of 10005100060093 in words is "ten trillion, five billion, one hundred million, sixty thousand, ninety-three".