2102212102221 has 24 divisors (see below), whose sum is σ = 3785801882304. Its totient is φ = 1092058234560.

The previous prime is 2102212102201. The next prime is 2102212102229. The reversal of 2102212102221 is 1222012122012.

It is a happy number.

2102212102221 is a `hidden beast` number, since 2 + 10 + 221 + 210 + 2 + 221 = 666.

It is not a de Polignac number, because 2102212102221 - 2²⁹ = 2101675231309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102212102194 and 2102212102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102212102229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516746856 + ... + 1516748241.

It is an arithmetic number, because the mean of its divisors is an integer number (157741745096).

Almost surely, 2^{2102212102221} is an apocalyptic number.

2102212102221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102212102221 is a deficient number, since it is larger than the sum of its proper divisors (1683589780083).

2102212102221 is a wasteful number, since it uses less digits than its factorization.

2102212102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033495121 (or 3033495118 counting only the distinct ones).

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

Adding to 2102212102221 its reverse (1222012122012), we get a palindrome (3324224224233).

The spelling of 2102212102221 in words is "two trillion, one hundred two billion, two hundred twelve million, one hundred two thousand, two hundred twenty-one".