12100001000985 has 48 divisors (see below), whose sum is σ = 21651428697600. Its totient is φ = 6244719183360.

The previous prime is 12100001000951. The next prime is 12100001001013. The reversal of 12100001000985 is 58900010000121.

It is not a de Polignac number, because 12100001000985 - 2¹⁴ = 12100000984601 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19856202 + ... + 20456508.

It is an arithmetic number, because the mean of its divisors is an integer number (451071431200).

Almost surely, 2^{12100001000985} is an apocalyptic number.

12100001000985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12100001000985 is a deficient number, since it is larger than the sum of its proper divisors (9551427696615).

12100001000985 is a wasteful number, since it uses less digits than its factorization.

12100001000985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614798 (or 614795 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 12100001000985 in words is "twelve trillion, one hundred billion, one million, nine hundred eighty-five", and thus it is an aban number.