112112221192001 has 2 divisors, whose sum is σ = 112112221192002. Its totient is φ = 112112221192000.

The previous prime is 112112221191983. The next prime is 112112221192009. The reversal of 112112221192001 is 100291122211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78980972991376 + 33131248200625 = 8887124^2 + 5755975^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112221192001 - 2¹⁸ = 112112220929857 is a prime.

It is not a weakly prime, because it can be changed into another prime (112112221192009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056110596000 + 56056110596001.

It is an arithmetic number, because the mean of its divisors is an integer number (56056110596001).

Almost surely, 2^{112112221192001} is an apocalyptic number.

It is an amenable number.

112112221192001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112221192001 is an equidigital number, since it uses as much as digits as its factorization.

112112221192001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 112112221192001 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred ninety-two thousand, one".