101011109985 has 12 divisors (see below), whose sum is σ = 175085924052. Its totient is φ = 53872591968.

The previous prime is 101011109981. The next prime is 101011110001. The reversal of 101011109985 is 589901110101.

It can be written as a sum of positive squares in 2 ways, for example, as 24508528704 + 76502581281 = 156552^2 + 276591^2 .

It is not a de Polignac number, because 101011109985 - 2² = 101011109981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011109981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122345622 + ... + 1122345711.

It is an arithmetic number, because the mean of its divisors is an integer number (14590493671).

Almost surely, 2^101011109985 is an apocalyptic number.

101011109985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101011109985 is a deficient number, since it is larger than the sum of its proper divisors (74074814067).

101011109985 is a wasteful number, since it uses less digits than its factorization.

101011109985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244691344 (or 2244691341 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 36.

The spelling of 101011109985 in words is "one hundred one billion, eleven million, one hundred nine thousand, nine hundred eighty-five".