100111100110193 has 2 divisors, whose sum is σ = 100111100110194. Its totient is φ = 100111100110192.

The previous prime is 100111100110181. The next prime is 100111100110253. The reversal of 100111100110193 is 391011001111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99263122495744 + 847977614449 = 9963088^2 + 920857^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100110193 - 2³⁶ = 100042380633457 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111100110793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550055096 + 50055550055097.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550055097).

Almost surely, 2^{100111100110193} is an apocalyptic number.

It is an amenable number.

100111100110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100110193 is an equidigital number, since it uses as much as digits as its factorization.

100111100110193 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 20.

Adding to 100111100110193 its reverse (391011001111001), we get a palindrome (491122101221194).

The spelling of 100111100110193 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred ninety-three".