2120211102221 has 8 divisors (see below), whose sum is σ = 2125404449784. Its totient is φ = 2115019123200.

The previous prime is 2120211102203. The next prime is 2120211102241. The reversal of 2120211102221 is 1222011120212.

It can be written as a sum of positive squares in 4 ways, for example, as 100441455625 + 2019769646596 = 316925^2 + 1421186^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120211102221 is a prime.

It is a super-2 number, since 2×2120211102221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2120211102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120211102241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2795321 + ... + 3471921.

It is an arithmetic number, because the mean of its divisors is an integer number (265675556223).

Almost surely, 2^{2120211102221} is an apocalyptic number.

It is an amenable number.

2120211102221 is a deficient number, since it is larger than the sum of its proper divisors (5193347563).

2120211102221 is an equidigital number, since it uses as much as digits as its factorization.

2120211102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684271.

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

Adding to 2120211102221 its reverse (1222011120212), we get a palindrome (3342222222433).

The spelling of 2120211102221 in words is "two trillion, one hundred twenty billion, two hundred eleven million, one hundred two thousand, two hundred twenty-one".