12201021146101 has 8 divisors (see below), whose sum is σ = 12531423767384. Its totient is φ = 11870652487680.

The previous prime is 12201021146099. The next prime is 12201021146107. The reversal of 12201021146101 is 10164112010221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2983907305201 + 9217113840900 = 1727399^2 + 3035970^2 .

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 12201021146101 - 2¹ = 12201021146099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201021146107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7761660 + ... + 9200293.

It is an arithmetic number, because the mean of its divisors is an integer number (1566427970923).

Almost surely, 2^{12201021146101} is an apocalyptic number.

It is an amenable number.

12201021146101 is a deficient number, since it is larger than the sum of its proper divisors (330402621283).

12201021146101 is a wasteful number, since it uses less digits than its factorization.

12201021146101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16981431.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 12201021146101 its reverse (10164112010221), we get a palindrome (22365133156322).

The spelling of 12201021146101 in words is "twelve trillion, two hundred one billion, twenty-one million, one hundred forty-six thousand, one hundred one".