2102122220221 has 8 divisors (see below), whose sum is σ = 2126036930040. Its totient is φ = 2078214074112.

The previous prime is 2102122220119. The next prime is 2102122220227. The reversal of 2102122220221 is 1220222212012.

It can be written as a sum of positive squares in 4 ways, for example, as 1112556025 + 2101009664196 = 33355^2 + 1449486^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2102122220221 - 2¹⁷ = 2102122089149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102122220227) 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, 995320 + ... + 2279233.

It is an arithmetic number, because the mean of its divisors is an integer number (265754616255).

Almost surely, 2^{2102122220221} is an apocalyptic number.

It is an amenable number.

2102122220221 is a deficient number, since it is larger than the sum of its proper divisors (23914709819).

2102122220221 is an equidigital number, since it uses as much as digits as its factorization.

2102122220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281855.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2102122220221 its reverse (1220222212012), we get a palindrome (3322344432233).

The spelling of 2102122220221 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".