202221222100121 has 12 divisors (see below), whose sum is σ = 235772779080960. Its totient is φ = 172937641269960.

The previous prime is 202221222100049. The next prime is 202221222100129. The reversal of 202221222100121 is 121001222122202.

It is not a de Polignac number, because 202221222100121 - 2¹⁸ = 202221221837977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202221222100093 and 202221222100102.

It is not an unprimeable number, because it can be changed into a prime (202221222100129) 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 11 ways as a sum of consecutive naturals, for example, 4700392745 + ... + 4700435766.

It is an arithmetic number, because the mean of its divisors is an integer number (19647731590080).

Almost surely, 2^{202221222100121} is an apocalyptic number.

It is an amenable number.

202221222100121 is a deficient number, since it is larger than the sum of its proper divisors (33551556980839).

202221222100121 is an equidigital number, since it uses as much as digits as its factorization.

202221222100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400828964 (or 9400828957 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202221222100121 its reverse (121001222122202), we get a palindrome (323222444222323).

The spelling of 202221222100121 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".