10010100010985 has 8 divisors (see below), whose sum is σ = 12012525062280. Its totient is φ = 8007809976064.

The previous prime is 10010100010969. The next prime is 10010100010993. The reversal of 10010100010985 is 58901000101001.

10010100010985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 868892436736 + 9141207574249 = 932144^2 + 3023443^2 .

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 10010100010985 - 2⁴ = 10010100010969 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33590912 + ... + 33887601.

It is an arithmetic number, because the mean of its divisors is an integer number (1501565632785).

Almost surely, 2^{10010100010985} is an apocalyptic number.

It is an amenable number.

10010100010985 is a deficient number, since it is larger than the sum of its proper divisors (2002425051295).

10010100010985 is an equidigital number, since it uses as much as digits as its factorization.

10010100010985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67508187.

The product of its (nonzero) digits is 360, while the sum is 26.

Adding to 10010100010985 its reverse (58901000101001), we get a palindrome (68911100111986).

The spelling of 10010100010985 in words is "ten trillion, ten billion, one hundred million, ten thousand, nine hundred eighty-five".