1123312012101 has 48 divisors (see below), whose sum is σ = 1688158508400. Its totient is φ = 718905148416.

The previous prime is 1123312012087. The next prime is 1123312012103. The reversal of 1123312012101 is 1012102133211.

1123312012101 is a `hidden beast` number, since 112 + 331 + 201 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30555389601 + 1092756622500 = 174801^2 + 1045350^2 .

It is not a de Polignac number, because 1123312012101 - 2¹⁴ = 1123311995717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123312012103) 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 in 47 ways as a sum of consecutive naturals, for example, 43103391 + ... + 43129443.

It is an arithmetic number, because the mean of its divisors is an integer number (35169968925).

Almost surely, 2^{1123312012101} is an apocalyptic number.

It is an amenable number.

1123312012101 is a deficient number, since it is larger than the sum of its proper divisors (564846496299).

1123312012101 is a wasteful number, since it uses less digits than its factorization.

1123312012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27030 (or 27027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1123312012101 its reverse (1012102133211), we get a palindrome (2135414145312).

The spelling of 1123312012101 in words is "one trillion, one hundred twenty-three billion, three hundred twelve million, twelve thousand, one hundred one".