112000212101993 has 2 divisors, whose sum is σ = 112000212101994. Its totient is φ = 112000212101992.

The previous prime is 112000212101909. The next prime is 112000212102059. The reversal of 112000212101993 is 399101212000211.

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., 71353109843929 + 40647102258064 = 8447077^2 + 6375508^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000212101993 - 2²⁴ = 112000195324777 is a prime.

It is not a weakly prime, because it can be changed into another prime (112000212601993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000106050996 + 56000106050997.

It is an arithmetic number, because the mean of its divisors is an integer number (56000106050997).

Almost surely, 2^{112000212101993} is an apocalyptic number.

It is an amenable number.

112000212101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000212101993 is an equidigital number, since it uses as much as digits as its factorization.

112000212101993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 112000212101993 in words is "one hundred twelve trillion, two hundred twelve million, one hundred one thousand, nine hundred ninety-three".