2102221012221 has 96 divisors (see below), whose sum is σ = 3452657135616. Its totient is φ = 1221541776000.

The previous prime is 2102221012219. The next prime is 2102221012223. The reversal of 2102221012221 is 1222101222012.

It is a happy number.

2102221012221 is a `hidden beast` number, since 210 + 2 + 221 + 0 + 12 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (2102221012219) and next prime (2102221012223).

It is not a de Polignac number, because 2102221012221 - 2¹ = 2102221012219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102221012194 and 2102221012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102221012223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51846726 + ... + 51887256.

It is an arithmetic number, because the mean of its divisors is an integer number (35965178496).

Almost surely, 2^{2102221012221} is an apocalyptic number.

It is an amenable number.

2102221012221 is a deficient number, since it is larger than the sum of its proper divisors (1350436123395).

2102221012221 is a wasteful number, since it uses less digits than its factorization.

2102221012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40823 (or 40820 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102221012221 its reverse (1222101222012), we get a palindrome (3324322234233).

The spelling of 2102221012221 in words is "two trillion, one hundred two billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".