101100011985 has 48 divisors (see below), whose sum is σ = 208981903104. Its totient is φ = 44207703936.

The previous prime is 101100011977. The next prime is 101100011989. The reversal of 101100011985 is 589110001101.

It is not a de Polignac number, because 101100011985 - 2³ = 101100011977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100011989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6969982 + ... + 6984471.

It is an arithmetic number, because the mean of its divisors is an integer number (4353789648).

Almost surely, 2^101100011985 is an apocalyptic number.

101100011985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101100011985 is an abundant number, since it is smaller than the sum of its proper divisors (107881891119).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100011985 is a wasteful number, since it uses less digits than its factorization.

101100011985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954494 (or 13954491 counting only the distinct ones).

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

The spelling of 101100011985 in words is "one hundred one billion, one hundred million, eleven thousand, nine hundred eighty-five".