110001122232193 has 2 divisors, whose sum is σ = 110001122232194. Its totient is φ = 110001122232192.

The previous prime is 110001122232181. The next prime is 110001122232223. The reversal of 110001122232193 is 391232221100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67791971353744 + 42209150878449 = 8233588^2 + 6496857^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001122232193 - 2⁴¹ = 107802098976641 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001122232493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000561116096 + 55000561116097.

It is an arithmetic number, because the mean of its divisors is an integer number (55000561116097).

Almost surely, 2^{110001122232193} is an apocalyptic number.

It is an amenable number.

110001122232193 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001122232193 is an equidigital number, since it uses as much as digits as its factorization.

110001122232193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 110001122232193 in words is "one hundred ten trillion, one billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred ninety-three".