10101000010985 has 8 divisors (see below), whose sum is σ = 13053600014280. Its totient is φ = 7459200008064.

The previous prime is 10101000010967. The next prime is 10101000010987. The reversal of 10101000010985 is 58901000010101.

It can be written as a sum of positive squares in 4 ways, for example, as 1417464068329 + 8683535942656 = 1190573^2 + 2946784^2 .

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 10101000010985 - 2¹⁸ = 10100999748841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101000010987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77700000020 + ... + 77700000149.

It is an arithmetic number, because the mean of its divisors is an integer number (1631700001785).

Almost surely, 2^{10101000010985} is an apocalyptic number.

It is an amenable number.

10101000010985 is a deficient number, since it is larger than the sum of its proper divisors (2952600003295).

10101000010985 is a wasteful number, since it uses less digits than its factorization.

10101000010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155400000187.

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

The spelling of 10101000010985 in words is "ten trillion, one hundred one billion, ten thousand, nine hundred eighty-five".