112200022109993 has 2 divisors, whose sum is σ = 112200022109994. Its totient is φ = 112200022109992.

The previous prime is 112200022109909. The next prime is 112200022110019. The reversal of 112200022109993 is 399901220002211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58985287715344 + 53214734394649 = 7680188^2 + 7294843^2 .

It is a cyclic number.

It is not a de Polignac number, because 112200022109993 - 2⁴⁴ = 94607836065577 is a prime.

It is a super-2 number, since 2×112200022109993² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112200022109993.

It is not a weakly prime, because it can be changed into another prime (112200022103993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100011054996 + 56100011054997.

It is an arithmetic number, because the mean of its divisors is an integer number (56100011054997).

Almost surely, 2^{112200022109993} is an apocalyptic number.

It is an amenable number.

112200022109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

112200022109993 is an equidigital number, since it uses as much as digits as its factorization.

112200022109993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 112200022109993 in words is "one hundred twelve trillion, two hundred billion, twenty-two million, one hundred nine thousand, nine hundred ninety-three".