112211031001 has 2 divisors, whose sum is σ = 112211031002. Its totient is φ = 112211031000.

The previous prime is 112211030999. The next prime is 112211031043. The reversal of 112211031001 is 100130112211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58641465600 + 53569565401 = 242160^2 + 231451^2 .

It is an emirp because it is prime and its reverse (100130112211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112211031001 - 2¹ = 112211030999 is a prime.

It is a super-4 number, since 4×112211031001⁴ (a number of 45 digits) contains 4444 as substring.

Together with 112211030999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (112211031301) 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, 56105515500 + 56105515501.

It is an arithmetic number, because the mean of its divisors is an integer number (56105515501).

Almost surely, 2^112211031001 is an apocalyptic number.

It is an amenable number.

112211031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211031001 is an equidigital number, since it uses as much as digits as its factorization.

112211031001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 112211031001 its reverse (100130112211), we get a palindrome (212341143212).

The spelling of 112211031001 in words is "one hundred twelve billion, two hundred eleven million, thirty-one thousand, one".