2122120102201 has 16 divisors (see below), whose sum is σ = 2327360289408. Its totient is φ = 1918955491200.

The previous prime is 2122120102171. The next prime is 2122120102211. The reversal of 2122120102201 is 1022010212212.

It is a happy number.

It is not a de Polignac number, because 2122120102201 - 2³⁵ = 2087760363833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122120102211) 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 15 ways as a sum of consecutive naturals, for example, 1357405 + ... + 2467141.

It is an arithmetic number, because the mean of its divisors is an integer number (145460018088).

Almost surely, 2^{2122120102201} is an apocalyptic number.

It is an amenable number.

2122120102201 is a deficient number, since it is larger than the sum of its proper divisors (205240187207).

2122120102201 is a wasteful number, since it uses less digits than its factorization.

2122120102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110672.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122120102201 its reverse (1022010212212), we get a palindrome (3144130314413).

The spelling of 2122120102201 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, two hundred one".