2101122210221 has 2 divisors, whose sum is σ = 2101122210222. Its totient is φ = 2101122210220.

The previous prime is 2101122210191. The next prime is 2101122210251. The reversal of 2101122210221 is 1220122211012.

It is a balanced prime because it is at equal distance from previous prime (2101122210191) and next prime (2101122210251).

It can be written as a sum of positive squares in only one way, i.e., 1448145085321 + 652977124900 = 1203389^2 + 808070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101122210221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101122210221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101122210251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050561105110 + 1050561105111.

It is an arithmetic number, because the mean of its divisors is an integer number (1050561105111).

Almost surely, 2^{2101122210221} is an apocalyptic number.

It is an amenable number.

2101122210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101122210221 is an equidigital number, since it uses as much as digits as its factorization.

2101122210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2101122210221 its reverse (1220122211012), we get a palindrome (3321244421233).

The spelling of 2101122210221 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty-one".