1010100110985 has 24 divisors (see below), whose sum is σ = 2000960220480. Its totient is φ = 461760050592.

The previous prime is 1010100110959. The next prime is 1010100111001. The reversal of 1010100110985 is 5890110010101.

It is not a de Polignac number, because 1010100110985 - 2⁹ = 1010100110473 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603333195 + ... + 1603333824.

It is an arithmetic number, because the mean of its divisors is an integer number (83373342520).

Almost surely, 2^{1010100110985} is an apocalyptic number.

1010100110985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010100110985 is a deficient number, since it is larger than the sum of its proper divisors (990860109495).

1010100110985 is a wasteful number, since it uses less digits than its factorization.

1010100110985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206667037 (or 3206667034 counting only the distinct ones).

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

The spelling of 1010100110985 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, nine hundred eighty-five".