101120009985 has 40 divisors (see below), whose sum is σ = 182871196200. Its totient is φ = 53453385216.

The previous prime is 101120009981. The next prime is 101120009989. The reversal of 101120009985 is 589900021101.

It is an interprime number because it is at equal distance from previous prime (101120009981) and next prime (101120009989).

It can be written as a sum of positive squares in 4 ways, for example, as 9461841984 + 91658168001 = 97272^2 + 302751^2 .

It is not a de Polignac number, because 101120009985 - 2² = 101120009981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120009981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1059010 + ... + 1150539.

It is an arithmetic number, because the mean of its divisors is an integer number (4571779905).

Almost surely, 2^101120009985 is an apocalyptic number.

101120009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101120009985 is a deficient number, since it is larger than the sum of its proper divisors (81751186215).

101120009985 is a wasteful number, since it uses less digits than its factorization.

101120009985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209679 (or 2209670 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 101120009985 in words is "one hundred one billion, one hundred twenty million, nine thousand, nine hundred eighty-five".