221001221211121 has 64 divisors (see below), whose sum is σ = 245471153356800. Its totient is φ = 197731282484736.

The previous prime is 221001221211077. The next prime is 221001221211137. The reversal of 221001221211121 is 121112122100122.

It is a happy number.

It is not a de Polignac number, because 221001221211121 - 2³¹ = 220999073727473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221001221211161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7614678016 + ... + 7614707038.

It is an arithmetic number, because the mean of its divisors is an integer number (3835486771200).

Almost surely, 2^{221001221211121} is an apocalyptic number.

It is an amenable number.

221001221211121 is a deficient number, since it is larger than the sum of its proper divisors (24469932145679).

221001221211121 is a wasteful number, since it uses less digits than its factorization.

221001221211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29798.

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

Adding to 221001221211121 its reverse (121112122100122), we get a palindrome (342113343311243).

The spelling of 221001221211121 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".