101000011000985 has 8 divisors (see below), whose sum is σ = 128329425742536. Its totient is φ = 76047067106560.

The previous prime is 101000011000873. The next prime is 101000011000991. The reversal of 101000011000985 is 589000110000101.

It can be written as a sum of positive squares in 4 ways, for example, as 38647209689344 + 62352801311641 = 6216688^2 + 7896379^2 .

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

It is not a de Polignac number, because 101000011000985 - 2¹⁰ = 101000010999961 is a prime.

It is a Duffinian 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, 594117711686 + ... + 594117711855.

It is an arithmetic number, because the mean of its divisors is an integer number (16041178217817).

Almost surely, 2^{101000011000985} is an apocalyptic number.

It is an amenable number.

101000011000985 is a deficient number, since it is larger than the sum of its proper divisors (27329414741551).

101000011000985 is a wasteful number, since it uses less digits than its factorization.

101000011000985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188235423563.

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

The spelling of 101000011000985 in words is "one hundred one trillion, eleven million, nine hundred eighty-five", and thus it is an aban number.