10000210109985 has 12 divisors (see below), whose sum is σ = 17333697524052. Its totient is φ = 5333445391968.

The previous prime is 10000210109951. The next prime is 10000210110001. The reversal of 10000210109985 is 58990101200001.

It can be written as a sum of positive squares in 2 ways, for example, as 1752107563584 + 8248102546401 = 1323672^2 + 2871951^2 .

It is not a de Polignac number, because 10000210109985 - 2¹⁰ = 10000210108961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111113445622 + ... + 111113445711.

It is an arithmetic number, because the mean of its divisors is an integer number (1444474793671).

Almost surely, 2^{10000210109985} is an apocalyptic number.

10000210109985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10000210109985 is a deficient number, since it is larger than the sum of its proper divisors (7333487414067).

10000210109985 is a wasteful number, since it uses less digits than its factorization.

10000210109985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222226891344 (or 222226891341 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

Adding to 10000210109985 its reverse (58990101200001), we get a palindrome (68990311309986).

The spelling of 10000210109985 in words is "ten trillion, two hundred ten million, one hundred nine thousand, nine hundred eighty-five".