101112345109 has 2 divisors, whose sum is σ = 101112345110. Its totient is φ = 101112345108.

The previous prime is 101112345101. The next prime is 101112345149. The reversal of 101112345109 is 901543211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83233981009 + 17878364100 = 288503^2 + 133710^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112345109 - 2³ = 101112345101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112345101) 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, 50556172554 + 50556172555.

It is an arithmetic number, because the mean of its divisors is an integer number (50556172555).

Almost surely, 2^101112345109 is an apocalyptic number.

It is an amenable number.

101112345109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112345109 is an equidigital number, since it uses as much as digits as its factorization.

101112345109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 101112345109 in words is "one hundred one billion, one hundred twelve million, three hundred forty-five thousand, one hundred nine".