1022112311193 has 12 divisors (see below), whose sum is σ = 1476393212580. Its totient is φ = 681404162976.

The previous prime is 1022112311141. The next prime is 1022112311201. The reversal of 1022112311193 is 3911132112201.

1022112311193 is a `hidden beast` number, since 102 + 211 + 231 + 119 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 986996549529 + 35115761664 = 993477^2 + 187392^2 .

It is not a de Polignac number, because 1022112311193 - 2¹⁰ = 1022112310169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022112311113) 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 11 ways as a sum of consecutive naturals, for example, 2814043 + ... + 3156431.

It is an arithmetic number, because the mean of its divisors is an integer number (123032767715).

Almost surely, 2^{1022112311193} is an apocalyptic number.

It is an amenable number.

1022112311193 is a deficient number, since it is larger than the sum of its proper divisors (454280901387).

1022112311193 is a wasteful number, since it uses less digits than its factorization.

1022112311193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674088 (or 674085 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 1022112311193 its reverse (3911132112201), we get a palindrome (4933244423394).

The spelling of 1022112311193 in words is "one trillion, twenty-two billion, one hundred twelve million, three hundred eleven thousand, one hundred ninety-three".