100010100100093 has 2 divisors, whose sum is σ = 100010100100094. Its totient is φ = 100010100100092.

The previous prime is 100010100100013. The next prime is 100010100100111. The reversal of 100010100100093 is 390001001010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98605654681444 + 1404445418649 = 9930038^2 + 1185093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050050046 + 50005050050047.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050050047).

Almost surely, 2^{100010100100093} is an apocalyptic number.

It is an amenable number.

100010100100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100100093 is an equidigital number, since it uses as much as digits as its factorization.

100010100100093 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 16.

Adding to 100010100100093 its reverse (390001001010001), we get a palindrome (490011101110094).

The spelling of 100010100100093 in words is "one hundred trillion, ten billion, one hundred million, one hundred thousand, ninety-three".