10212120209 has 8 divisors (see below), whose sum is σ = 10901004480. Its totient is φ = 9538376400.

The previous prime is 10212120179. The next prime is 10212120239. The reversal of 10212120209 is 90202121201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10212120179) and next prime (10212120239).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10212120209 - 2²⁸ = 9943684753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212120239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3783722 + ... + 3786419.

It is an arithmetic number, because the mean of its divisors is an integer number (1362625560).

Almost surely, 2^10212120209 is an apocalyptic number.

10212120209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10212120209 is a deficient number, since it is larger than the sum of its proper divisors (688884271).

10212120209 is an equidigital number, since it uses as much as digits as its factorization.

10212120209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570231.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10212120209 in words is "ten billion, two hundred twelve million, one hundred twenty thousand, two hundred nine".