201121200109 has 8 divisors (see below), whose sum is σ = 205364443320. Its totient is φ = 196918177536.

The previous prime is 201121200097. The next prime is 201121200121. The reversal of 201121200109 is 901002121102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201121200097) and next prime (201121200121).

It can be written as a sum of positive squares in 4 ways, for example, as 92402624484 + 108718575625 = 303978^2 + 329725^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 201121200109 - 2¹⁵ = 201121167341 is a prime.

It is a super-2 number, since 2×201121200109² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121200139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10045054 + ... + 10065055.

It is an arithmetic number, because the mean of its divisors is an integer number (25670555415).

Almost surely, 2^201121200109 is an apocalyptic number.

It is an amenable number.

201121200109 is a deficient number, since it is larger than the sum of its proper divisors (4243243211).

201121200109 is a wasteful number, since it uses less digits than its factorization.

201121200109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110319.

The product of its (nonzero) digits is 72, while the sum is 19.

It can be divided in two parts, 20112 and 1200109, that added together give a palindrome (1220221).

The spelling of 201121200109 in words is "two hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred nine".