10001110100985 has 24 divisors (see below), whose sum is σ = 17349691621704. Its totient is φ = 5329484121600.

The previous prime is 10001110100983. The next prime is 10001110100987. The reversal of 10001110100985 is 58900101110001.

10001110100985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10001110100983) and next prime (10001110100987).

It can be written as a sum of positive squares in 4 ways, for example, as 120278563344 + 9880831537641 = 346812^2 + 3143379^2 .

It is not a de Polignac number, because 10001110100985 - 2¹ = 10001110100983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001110100983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92471722 + ... + 92579811.

It is an arithmetic number, because the mean of its divisors is an integer number (722903817571).

Almost surely, 2^{10001110100985} is an apocalyptic number.

10001110100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001110100985 is a deficient number, since it is larger than the sum of its proper divisors (7348581520719).

10001110100985 is a wasteful number, since it uses less digits than its factorization.

10001110100985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185052745 (or 185052742 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

Adding to 10001110100985 its reverse (58900101110001), we get a palindrome (68901211210986).

The spelling of 10001110100985 in words is "ten trillion, one billion, one hundred ten million, one hundred thousand, nine hundred eighty-five".