101112111000209 has 4 divisors (see below), whose sum is σ = 101553648603060. Its totient is φ = 100670573397360.

The previous prime is 101112111000193. The next prime is 101112111000239. The reversal of 101112111000209 is 902000111211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 94975452436225 + 6136658563984 = 9745535^2 + 2477228^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112111000209 - 2⁴ = 101112111000193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112111000239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220768801082 + ... + 220768801539.

It is an arithmetic number, because the mean of its divisors is an integer number (25388412150765).

Almost surely, 2^{101112111000209} is an apocalyptic number.

It is an amenable number.

101112111000209 is a deficient number, since it is larger than the sum of its proper divisors (441537602851).

101112111000209 is an equidigital number, since it uses as much as digits as its factorization.

101112111000209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441537602850.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101112111000209 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, two hundred nine", and thus it is an aban number.