10100100100985 has 8 divisors (see below), whose sum is σ = 12447690935496. Its totient is φ = 7861699537920.

The previous prime is 10100100100939. The next prime is 10100100101009. The reversal of 10100100100985 is 58900100100101.

It can be written as a sum of positive squares in 4 ways, for example, as 447993278329 + 9652106822656 = 669323^2 + 3106784^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100100100985 - 2¹⁰ = 10100100099961 is a prime.

It is a Duffinian number.

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, 27297567656 + ... + 27297568025.

It is an arithmetic number, because the mean of its divisors is an integer number (1555961366937).

Almost surely, 2^{10100100100985} is an apocalyptic number.

It is an amenable number.

10100100100985 is a deficient number, since it is larger than the sum of its proper divisors (2347590834511).

10100100100985 is an equidigital number, since it uses as much as digits as its factorization.

10100100100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54595135723.

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

The spelling of 10100100100985 in words is "ten trillion, one hundred billion, one hundred million, one hundred thousand, nine hundred eighty-five".