221201202101121 has 96 divisors (see below), whose sum is σ = 376941788241408. Its totient is φ = 123482136453120.

The previous prime is 221201202101083. The next prime is 221201202101161. The reversal of 221201202101121 is 121101202102122.

221201202101121 is a `hidden beast` number, since 2 + 212 + 0 + 120 + 210 + 1 + 121 = 666.

It is not a de Polignac number, because 221201202101121 - 2⁶ = 221201202101057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221201202101094 and 221201202101103.

It is not an unprimeable number, because it can be changed into a prime (221201202101161) 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 95 ways as a sum of consecutive naturals, for example, 1225421545 + ... + 1225602041.

It is an arithmetic number, because the mean of its divisors is an integer number (3926476960848).

Almost surely, 2^{221201202101121} is an apocalyptic number.

It is an amenable number.

221201202101121 is a deficient number, since it is larger than the sum of its proper divisors (155740586140287).

221201202101121 is a wasteful number, since it uses less digits than its factorization.

221201202101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196071 (or 196068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221201202101121 its reverse (121101202102122), we get a palindrome (342302404203243).

The spelling of 221201202101121 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred two million, one hundred one thousand, one hundred twenty-one".