212120120120201 has 32 divisors (see below), whose sum is σ = 218908671801600. Its totient is φ = 205419804226560.

The previous prime is 212120120120159. The next prime is 212120120120203. The reversal of 212120120120201 is 102021021021212.

It is a cyclic number.

It is not a de Polignac number, because 212120120120201 - 2⁶ = 212120120120137 is a prime.

It is a super-2 number, since 2×212120120120201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212120120120201.

It is not an unprimeable number, because it can be changed into a prime (212120120120203) 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 31 ways as a sum of consecutive naturals, for example, 36440491871 + ... + 36440497691.

It is an arithmetic number, because the mean of its divisors is an integer number (6840895993800).

Almost surely, 2^{212120120120201} is an apocalyptic number.

It is an amenable number.

212120120120201 is a deficient number, since it is larger than the sum of its proper divisors (6788551681399).

212120120120201 is a wasteful number, since it uses less digits than its factorization.

212120120120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12609.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212120120120201 its reverse (102021021021212), we get a palindrome (314141141141413).

The spelling of 212120120120201 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty thousand, two hundred one".