201221110000121 has 16 divisors (see below), whose sum is σ = 208521920775168. Its totient is φ = 193971054432000.

The previous prime is 201221110000067. The next prime is 201221110000147. The reversal of 201221110000121 is 121000011122102.

It is a cyclic number.

It is not a de Polignac number, because 201221110000121 - 2⁴⁶ = 130852365822457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201221110000096 and 201221110000105.

It is not an unprimeable number, because it can be changed into a prime (201221110000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84075821 + ... + 86436021.

It is an arithmetic number, because the mean of its divisors is an integer number (13032620048448).

Almost surely, 2^{201221110000121} is an apocalyptic number.

It is an amenable number.

201221110000121 is a deficient number, since it is larger than the sum of its proper divisors (7300810775047).

201221110000121 is a wasteful number, since it uses less digits than its factorization.

201221110000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370952.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201221110000121 its reverse (121000011122102), we get a palindrome (322221121122223).

The spelling of 201221110000121 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one", and thus it is an aban number.