110022112201993 has 2 divisors, whose sum is σ = 110022112201994. Its totient is φ = 110022112201992.

The previous prime is 110022112201933. The next prime is 110022112202047. The reversal of 110022112201993 is 399102211220011.

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., 87633619406089 + 22388492795904 = 9361283^2 + 4731648^2 .

It is a cyclic number.

It is not a de Polignac number, because 110022112201993 - 2⁹ = 110022112201481 is a prime.

It is not a weakly prime, because it can be changed into another prime (110022112201933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55011056100996 + 55011056100997.

It is an arithmetic number, because the mean of its divisors is an integer number (55011056100997).

Almost surely, 2^{110022112201993} is an apocalyptic number.

It is an amenable number.

110022112201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110022112201993 is an equidigital number, since it uses as much as digits as its factorization.

110022112201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 110022112201993 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, nine hundred ninety-three".