201122221222121 has 8 divisors (see below), whose sum is σ = 201242501243784. Its totient is φ = 201001942955520.

The previous prime is 201122221222051. The next prime is 201122221222151. The reversal of 201122221222121 is 121222122221102.

It can be written as a sum of positive squares in 4 ways, for example, as 13727477013721 + 187394744208400 = 3705061^2 + 13689220^2 .

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 201122221222121 - 2⁴² = 196724174711017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201122221222151) 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, 283692431 + ... + 284400491.

It is an arithmetic number, because the mean of its divisors is an integer number (25155312655473).

Almost surely, 2^{201122221222121} is an apocalyptic number.

It is an amenable number.

201122221222121 is a deficient number, since it is larger than the sum of its proper divisors (120280021663).

201122221222121 is a wasteful number, since it uses less digits than its factorization.

201122221222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877531.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 201122221222121 its reverse (121222122221102), we get a palindrome (322344343443223).

The spelling of 201122221222121 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-one".