101011110099985 has 64 divisors (see below), whose sum is σ = 124480650534912. Its totient is φ = 78663236230656.

The previous prime is 101011110099967. The next prime is 101011110099989. The reversal of 101011110099985 is 589990011110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011110099985 - 2³¹ = 101008962616337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011110099989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38363504229 + ... + 38363506861.

It is an arithmetic number, because the mean of its divisors is an integer number (1945010164608).

Almost surely, 2^{101011110099985} is an apocalyptic number.

It is an amenable number.

101011110099985 is a deficient number, since it is larger than the sum of its proper divisors (23469540434927).

101011110099985 is a wasteful number, since it uses less digits than its factorization.

101011110099985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062.

The product of its (nonzero) digits is 29160, while the sum is 46.

The spelling of 101011110099985 in words is "one hundred one trillion, eleven billion, one hundred ten million, ninety-nine thousand, nine hundred eighty-five".