2102122110221 has 12 divisors (see below), whose sum is σ = 2504967813180. Its totient is φ = 1757872146240.

The previous prime is 2102122110203. The next prime is 2102122110289. The reversal of 2102122110221 is 1220112212012.

It can be written as a sum of positive squares in 2 ways, for example, as 72622704196 + 2029499406025 = 269486^2 + 1424605^2 .

It is not a de Polignac number, because 2102122110221 - 2¹⁸ = 2102121848077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102122110221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102122112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523174226 + ... + 523178243.

It is an arithmetic number, because the mean of its divisors is an integer number (208747317765).

Almost surely, 2^{2102122110221} is an apocalyptic number.

It is an amenable number.

2102122110221 is a deficient number, since it is larger than the sum of its proper divisors (402845702959).

2102122110221 is a wasteful number, since it uses less digits than its factorization.

2102122110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046352524 (or 1046352517 counting only the distinct ones).

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

Adding to 2102122110221 its reverse (1220112212012), we get a palindrome (3322234322233).

The spelling of 2102122110221 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty-one".