201111222120121 has 8 divisors (see below), whose sum is σ = 205421908951944. Its totient is φ = 196819651416960.

The previous prime is 201111222120079. The next prime is 201111222120169. The reversal of 201111222120121 is 121021222111102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12929454020025 + 188181768100096 = 3595755^2 + 13717936^2 .

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 201111222120121 - 2⁷ = 201111222119993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201111222120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4779010900 + ... + 4779052981.

It is an arithmetic number, because the mean of its divisors is an integer number (25677738618993).

Almost surely, 2^{201111222120121} is an apocalyptic number.

It is an amenable number.

201111222120121 is a deficient number, since it is larger than the sum of its proper divisors (4310686831823).

201111222120121 is an equidigital number, since it uses as much as digits as its factorization.

201111222120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558064331.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201111222120121 its reverse (121021222111102), we get a palindrome (322132444231223).

The spelling of 201111222120121 in words is "two hundred one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".