112100100109009 has 2 divisors, whose sum is σ = 112100100109010. Its totient is φ = 112100100109008.

The previous prime is 112100100108973. The next prime is 112100100109013. The reversal of 112100100109009 is 900901001001211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102353122448784 + 9746977660225 = 10116972^2 + 3122015^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100100109009 - 2¹⁹ = 112100099584721 is a prime.

It is a super-2 number, since 2×112100100109009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112100100109609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050050054504 + 56050050054505.

It is an arithmetic number, because the mean of its divisors is an integer number (56050050054505).

Almost surely, 2^{112100100109009} is an apocalyptic number.

It is an amenable number.

112100100109009 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100100109009 is an equidigital number, since it uses as much as digits as its factorization.

112100100109009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 112100100109009 in words is "one hundred twelve trillion, one hundred billion, one hundred million, one hundred nine thousand, nine".