101120002209 has 40 divisors (see below), whose sum is σ = 151609001192. Its totient is φ = 67166910720.

The previous prime is 101120002189. The next prime is 101120002219. The reversal of 101120002209 is 902200021101.

It can be written as a sum of positive squares in 4 ways, for example, as 42136593984 + 58983408225 = 205272^2 + 242865^2 .

It is not a de Polignac number, because 101120002209 - 2³⁶ = 32400525473 is a prime.

It is a super-3 number, since 3×101120002209³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120002191 and 101120002200.

It is not an unprimeable number, because it can be changed into a prime (101120002219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37271037 + ... + 37273749.

Almost surely, 2^101120002209 is an apocalyptic number.

It is an amenable number.

101120002209 is a deficient number, since it is larger than the sum of its proper divisors (50488998983).

101120002209 is a wasteful number, since it uses less digits than its factorization.

101120002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 101120002209 in words is "one hundred one billion, one hundred twenty million, two thousand, two hundred nine".