101112210009 has 10 divisors (see below), whose sum is σ = 151044165690. Its totient is φ = 67408139952.

The previous prime is 101112209987. The next prime is 101112210019. The reversal of 101112210009 is 900012211101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66872408409 + 34239801600 = 258597^2 + 185040^2 .

It is not a de Polignac number, because 101112210009 - 2⁵ = 101112209977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112209973 and 101112210000.

It is not an unprimeable number, because it can be changed into a prime (101112210019) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 624149364 + ... + 624149525.

It is an arithmetic number, because the mean of its divisors is an integer number (15104416569).

Almost surely, 2^101112210009 is an apocalyptic number.

It is an amenable number.

101112210009 is a deficient number, since it is larger than the sum of its proper divisors (49931955681).

101112210009 is an equidigital number, since it uses as much as digits as its factorization.

101112210009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248298901 (or 1248298892 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 101112210009 in words is "one hundred one billion, one hundred twelve million, two hundred ten thousand, nine".