2102220211221 has 40 divisors (see below), whose sum is σ = 3432395837024. Its totient is φ = 1274365366560.

The previous prime is 2102220211151. The next prime is 2102220211229. The reversal of 2102220211221 is 1221120222012.

It is a happy number.

2102220211221 is a `hidden beast` number, since 2 + 10 + 2 + 220 + 211 + 221 = 666.

It is not a de Polignac number, because 2102220211221 - 2³⁷ = 1964781257749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102220211194 and 2102220211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102220211229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14828035 + ... + 14969136.

Almost surely, 2^{2102220211221} is an apocalyptic number.

It is an amenable number.

2102220211221 is a deficient number, since it is larger than the sum of its proper divisors (1330175625803).

2102220211221 is a wasteful number, since it uses less digits than its factorization.

2102220211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29797263 (or 29797254 counting only the distinct ones).

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

Adding to 2102220211221 its reverse (1221120222012), we get a palindrome (3323340433233).

It can be divided in two parts, 2102220 and 211221, that added together give a 4-th power (2313441 = 39⁴).

The spelling of 2102220211221 in words is "two trillion, one hundred two billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty-one".