201121121112009 has 16 divisors (see below), whose sum is σ = 307560921363840. Its totient is φ = 114517364330880.

The previous prime is 201121121111957. The next prime is 201121121112019. The reversal of 201121121112009 is 900211121121102.

It is not a de Polignac number, because 201121121112009 - 2²⁰ = 201121120063433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201121121112009.

It is not an unprimeable number, because it can be changed into a prime (201121121112019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17041268554 + ... + 17041280355.

It is an arithmetic number, because the mean of its divisors is an integer number (19222557585240).

Almost surely, 2^{201121121112009} is an apocalyptic number.

It is an amenable number.

201121121112009 is a deficient number, since it is larger than the sum of its proper divisors (106439800251831).

201121121112009 is a wasteful number, since it uses less digits than its factorization.

201121121112009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34082549200.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 201121121112009 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, nine".