112124030031001 has 2 divisors, whose sum is σ = 112124030031002. Its totient is φ = 112124030031000.

The previous prime is 112124030030989. The next prime is 112124030031023. The reversal of 112124030031001 is 100130030421211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104357441371401 + 7766588659600 = 10215549^2 + 2786860^2 .

It is a cyclic number.

It is not a de Polignac number, because 112124030031001 - 2²³ = 112124021642393 is a prime.

It is a super-2 number, since 2×112124030031001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112124030031001.

It is not a weakly prime, because it can be changed into another prime (112124030035001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56062015015500 + 56062015015501.

It is an arithmetic number, because the mean of its divisors is an integer number (56062015015501).

Almost surely, 2^{112124030031001} is an apocalyptic number.

It is an amenable number.

112124030031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112124030031001 is an equidigital number, since it uses as much as digits as its factorization.

112124030031001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112124030031001 its reverse (100130030421211), we get a palindrome (212254060452212).

The spelling of 112124030031001 in words is "one hundred twelve trillion, one hundred twenty-four billion, thirty million, thirty-one thousand, one".