101112320993 has 2 divisors, whose sum is σ = 101112320994. Its totient is φ = 101112320992.

The previous prime is 101112320983. The next prime is 101112321017. The reversal of 101112320993 is 399023211101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60327710689 + 40784610304 = 245617^2 + 201952^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112320993 - 2¹⁴ = 101112304609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112320983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556160496 + 50556160497.

It is an arithmetic number, because the mean of its divisors is an integer number (50556160497).

Almost surely, 2^101112320993 is an apocalyptic number.

It is an amenable number.

101112320993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112320993 is an equidigital number, since it uses as much as digits as its factorization.

101112320993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 101112320993 in words is "one hundred one billion, one hundred twelve million, three hundred twenty thousand, nine hundred ninety-three".