10100011100093 has 2 divisors, whose sum is σ = 10100011100094. Its totient is φ = 10100011100092.

The previous prime is 10100011100089. The next prime is 10100011100117. The reversal of 10100011100093 is 39000111000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7655281845124 + 2444729254969 = 2766818^2 + 1563563^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011100093 - 2² = 10100011100089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011100393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005550046 + 5050005550047.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005550047).

Almost surely, 2^{10100011100093} is an apocalyptic number.

It is an amenable number.

10100011100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011100093 is an equidigital number, since it uses as much as digits as its factorization.

10100011100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10100011100093 its reverse (39000111000101), we get a palindrome (49100122100194).

The spelling of 10100011100093 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, ninety-three".