2121212101201 has 8 divisors (see below), whose sum is σ = 2196321889320. Its totient is φ = 2046233282688.

The previous prime is 2121212101163. The next prime is 2121212101319. The reversal of 2121212101201 is 1021012121212.

It can be written as a sum of positive squares in 4 ways, for example, as 836366400 + 2120375734801 = 28920^2 + 1456151^2 .

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 2121212101201 - 2¹³ = 2121212093009 is a prime.

It is a super-2 number, since 2×2121212101201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121212102201) 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, 32709436 + ... + 32774221.

It is an arithmetic number, because the mean of its divisors is an integer number (274540236165).

Almost surely, 2^{2121212101201} is an apocalyptic number.

It is an amenable number.

2121212101201 is a deficient number, since it is larger than the sum of its proper divisors (75109788119).

2121212101201 is a wasteful number, since it uses less digits than its factorization.

2121212101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65484803.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121212101201 its reverse (1021012121212), we get a palindrome (3142224222413).

The spelling of 2121212101201 in words is "two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred one thousand, two hundred one".