201221230121001 has 24 divisors (see below), whose sum is σ = 296785050804840. Its totient is φ = 131344084555776.

The previous prime is 201221230120991. The next prime is 201221230121017. The reversal of 201221230121001 is 100121032122102.

201221230121001 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 230 + 1 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60117692673600 + 141103537447401 = 7753560^2 + 11878701^2 .

It is not a de Polignac number, because 201221230121001 - 2⁵ = 201221230120969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201221230121201) 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 23 ways as a sum of consecutive naturals, for example, 1117693936 + ... + 1117873953.

It is an arithmetic number, because the mean of its divisors is an integer number (12366043783535).

Almost surely, 2^{201221230121001} is an apocalyptic number.

It is an amenable number.

201221230121001 is a deficient number, since it is larger than the sum of its proper divisors (95563820683839).

201221230121001 is a wasteful number, since it uses less digits than its factorization.

201221230121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235568105 (or 2235568102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201221230121001 its reverse (100121032122102), we get a palindrome (301342262243103).

The spelling of 201221230121001 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred thirty million, one hundred twenty-one thousand, one".