201201009985 has 8 divisors (see below), whose sum is σ = 241524571176. Its totient is φ = 160905235200.

The previous prime is 201201009973. The next prime is 201201010019. The reversal of 201201009985 is 589900102102.

It can be written as a sum of positive squares in 4 ways, for example, as 41360170384 + 159840839601 = 203372^2 + 399801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 201201009985 - 2⁵ = 201201009953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6930666 + ... + 6959635.

It is an arithmetic number, because the mean of its divisors is an integer number (30190571397).

Almost surely, 2^201201009985 is an apocalyptic number.

It is an amenable number.

201201009985 is a deficient number, since it is larger than the sum of its proper divisors (40323561191).

201201009985 is a wasteful number, since it uses less digits than its factorization.

201201009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893203.

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 201201009985 in words is "two hundred one billion, two hundred one million, nine thousand, nine hundred eighty-five".