20121001201201 has 8 divisors (see below), whose sum is σ = 21313040401224. Its totient is φ = 18929900989440.

The previous prime is 20121001201139. The next prime is 20121001201207. The reversal of 20121001201201 is 10210210012102.

It can be written as a sum of positive squares in 4 ways, for example, as 3859751390625 + 16261249810576 = 1964625^2 + 4032524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20121001201201 - 2⁷ = 20121001201073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121001201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234702940 + ... + 234788653.

It is an arithmetic number, because the mean of its divisors is an integer number (2664130050153).

Almost surely, 2^{20121001201201} is an apocalyptic number.

It is an amenable number.

20121001201201 is a deficient number, since it is larger than the sum of its proper divisors (1192039200023).

20121001201201 is a wasteful number, since it uses less digits than its factorization.

20121001201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469494131.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20121001201201 its reverse (10210210012102), we get a palindrome (30331211213303).

The spelling of 20121001201201 in words is "twenty trillion, one hundred twenty-one billion, one million, two hundred one thousand, two hundred one".