221122112193 has 8 divisors (see below), whose sum is σ = 327588314400. Its totient is φ = 147414741444.

The previous prime is 221122112161. The next prime is 221122112213. The reversal of 221122112193 is 391211221122.

221122112193 is a `hidden beast` number, since 221 + 1 + 221 + 1 + 219 + 3 = 666.

It is not a de Polignac number, because 221122112193 - 2⁵ = 221122112161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8189707859 = 221122112193 / (2 + 2 + 1 + 1 + 2 + 2 + 1 + 1 + 2 + 1 + 9 + 3).

It is not an unprimeable number, because it can be changed into a prime (221122112153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4094853903 + ... + 4094853956.

It is an arithmetic number, because the mean of its divisors is an integer number (40948539300).

Almost surely, 2^221122112193 is an apocalyptic number.

It is an amenable number.

221122112193 is a deficient number, since it is larger than the sum of its proper divisors (106466202207).

221122112193 is an equidigital number, since it uses as much as digits as its factorization.

221122112193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189707868 (or 8189707862 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The spelling of 221122112193 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ninety-three".