101201985 has 24 divisors (see below), whose sum is σ = 175668480. Its totient is φ = 53896992.

The previous prime is 101201953. The next prime is 101202019. The reversal of 101201985 is 589102101.

It is not a de Polignac number, because 101201985 - 2⁵ = 101201953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44752 + ... + 46958.

It is an arithmetic number, because the mean of its divisors is an integer number (7319520).

Almost surely, 2^101201985 is an apocalyptic number.

101201985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101201985 is a deficient number, since it is larger than the sum of its proper divisors (74466495).

101201985 is a wasteful number, since it uses less digits than its factorization.

101201985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 101201985 is about 10059.9197312901. The cubic root of 101201985 is about 466.0111883086.

The spelling of 101201985 in words is "one hundred one million, two hundred one thousand, nine hundred eighty-five".