10121120109 has 12 divisors (see below), whose sum is σ = 14680060252. Its totient is φ = 6719414400.

The previous prime is 10121120069. The next prime is 10121120161. The reversal of 10121120109 is 90102112101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7069110084 + 3052010025 = 84078^2 + 55245^2 .

It is not a de Polignac number, because 10121120109 - 2⁹ = 10121119597 is a prime.

It is a super-3 number, since 3×10121120109³ (a number of 31 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 = 10121120091 and 10121120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2330962 + ... + 2335299.

Almost surely, 2^10121120109 is an apocalyptic number.

It is an amenable number.

10121120109 is a deficient number, since it is larger than the sum of its proper divisors (4558940143).

10121120109 is a wasteful number, since it uses less digits than its factorization.

10121120109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666508 (or 4666505 counting only the distinct ones).

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

The spelling of 10121120109 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, one hundred nine".