201122112210985 has 24 divisors (see below), whose sum is σ = 281842463251080. Its totient is φ = 137375681716224.

The previous prime is 201122112210953. The next prime is 201122112210997. The reversal of 201122112210985 is 589012211221102.

It can be written as a sum of positive squares in 4 ways, for example, as 68221702487449 + 132900409723536 = 8259643^2 + 11528244^2 .

It is not a de Polignac number, because 201122112210985 - 2⁵ = 201122112210953 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, 1597031550 + ... + 1597157479.

It is an arithmetic number, because the mean of its divisors is an integer number (11743435968795).

Almost surely, 2^{201122112210985} is an apocalyptic number.

It is an amenable number.

201122112210985 is a deficient number, since it is larger than the sum of its proper divisors (80720351040095).

201122112210985 is a wasteful number, since it uses less digits than its factorization.

201122112210985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194189305 (or 3194189298 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 201122112210985 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, nine hundred eighty-five".