101112322109 has 2 divisors, whose sum is σ = 101112322110. Its totient is φ = 101112322108.

The previous prime is 101112322063. The next prime is 101112322133. The reversal of 101112322109 is 901223211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78910428100 + 22201894009 = 280910^2 + 149003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112322109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112322189) 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, 50556161054 + 50556161055.

It is an arithmetic number, because the mean of its divisors is an integer number (50556161055).

Almost surely, 2^101112322109 is an apocalyptic number.

It is an amenable number.

101112322109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112322109 is an equidigital number, since it uses as much as digits as its factorization.

101112322109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 101112322109 in words is "one hundred one billion, one hundred twelve million, three hundred twenty-two thousand, one hundred nine".