101001110985 has 24 divisors (see below), whose sum is σ = 175328776584. Its totient is φ = 53787202560.

The previous prime is 101001110939. The next prime is 101001111011. The reversal of 101001110985 is 589011100101.

It can be written as a sum of positive squares in 4 ways, for example, as 4374631881 + 96626479104 = 66141^2 + 310848^2 .

It is not a de Polignac number, because 101001110985 - 2⁹ = 101001110473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637226 + ... + 1697795.

It is an arithmetic number, because the mean of its divisors is an integer number (7305365691).

Almost surely, 2^101001110985 is an apocalyptic number.

101001110985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101001110985 is a deficient number, since it is larger than the sum of its proper divisors (74327665599).

101001110985 is a wasteful number, since it uses less digits than its factorization.

101001110985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335705 (or 3335702 counting only the distinct ones).

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

The spelling of 101001110985 in words is "one hundred one billion, one million, one hundred ten thousand, nine hundred eighty-five".