112021102993 has 2 divisors, whose sum is σ = 112021102994. Its totient is φ = 112021102992.

The previous prime is 112021102939. The next prime is 112021103027. The reversal of 112021102993 is 399201120211.

Together with previous prime (112021102939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110258530704 + 1762572289 = 332052^2 + 41983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112021102993 is a prime.

It is not a weakly prime, because it can be changed into another prime (112021102093) 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, 56010551496 + 56010551497.

It is an arithmetic number, because the mean of its divisors is an integer number (56010551497).

Almost surely, 2^112021102993 is an apocalyptic number.

It is an amenable number.

112021102993 is a deficient number, since it is larger than the sum of its proper divisors (1).

112021102993 is an equidigital number, since it uses as much as digits as its factorization.

112021102993 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 31.

The spelling of 112021102993 in words is "one hundred twelve billion, twenty-one million, one hundred two thousand, nine hundred ninety-three".