112111011010001 has 2 divisors, whose sum is σ = 112111011010002. Its totient is φ = 112111011010000.

The previous prime is 112111011009971. The next prime is 112111011010007. The reversal of 112111011010001 is 100010110111211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99050564332225 + 13060446677776 = 9952415^2 + 3613924^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111011010001 - 2¹⁴ = 112111010993617 is a prime.

It is not a weakly prime, because it can be changed into another prime (112111011010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055505505000 + 56055505505001.

It is an arithmetic number, because the mean of its divisors is an integer number (56055505505001).

Almost surely, 2^{112111011010001} is an apocalyptic number.

It is an amenable number.

112111011010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111011010001 is an equidigital number, since it uses as much as digits as its factorization.

112111011010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 112111011010001 its reverse (100010110111211), we get a palindrome (212121121121212).

The spelling of 112111011010001 in words is "one hundred twelve trillion, one hundred eleven billion, eleven million, ten thousand, one".