2102112220221 has 48 divisors (see below), whose sum is σ = 3495917408256. Its totient is φ = 1205692328448.

The previous prime is 2102112220183. The next prime is 2102112220249. The reversal of 2102112220221 is 1220222112012.

It is a happy number.

2102112220221 is a `hidden beast` number, since 2 + 10 + 211 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 2102112220221 - 2⁶ = 2102112220157 is a prime.

It is a super-4 number, since 4×2102112220221⁴ (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102112220194 and 2102112220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102112220321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4925565 + ... + 5335298.

It is an arithmetic number, because the mean of its divisors is an integer number (72831612672).

Almost surely, 2^{2102112220221} is an apocalyptic number.

It is an amenable number.

2102112220221 is a deficient number, since it is larger than the sum of its proper divisors (1393805188035).

2102112220221 is a wasteful number, since it uses less digits than its factorization.

2102112220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10261002 (or 10260999 counting only the distinct ones).

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

Adding to 2102112220221 its reverse (1220222112012), we get a palindrome (3322334332233).

The spelling of 2102112220221 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".