100111010000093 has 2 divisors, whose sum is σ = 100111010000094. Its totient is φ = 100111010000092.

The previous prime is 100111010000047. The next prime is 100111010000153. The reversal of 100111010000093 is 390000010111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54513443755684 + 45597566244409 = 7383322^2 + 6752597^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010000093 - 2¹⁶ = 100111009934557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010030093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505000046 + 50055505000047.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505000047).

Almost surely, 2^{100111010000093} is an apocalyptic number.

It is an amenable number.

100111010000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010000093 is an equidigital number, since it uses as much as digits as its factorization.

100111010000093 is an evil number, because the sum of its binary digits is even.

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

Adding to 100111010000093 its reverse (390000010111001), we get a palindrome (490111020111094).

The spelling of 100111010000093 in words is "one hundred trillion, one hundred eleven billion, ten million, ninety-three", and thus it is an aban number.