2101222110101 has 2 divisors, whose sum is σ = 2101222110102. Its totient is φ = 2101222110100.

The previous prime is 2101222110023. The next prime is 2101222110139. The reversal of 2101222110101 is 1010112221012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1794166486225 + 307055623876 = 1339465^2 + 554126^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101222110101 - 2¹⁴ = 2101222093717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101222110181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050611055050 + 1050611055051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050611055051).

Almost surely, 2^{2101222110101} is an apocalyptic number.

It is an amenable number.

2101222110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101222110101 is an equidigital number, since it uses as much as digits as its factorization.

2101222110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101222110101 its reverse (1010112221012), we get a palindrome (3111334331113).

The spelling of 2101222110101 in words is "two trillion, one hundred one billion, two hundred twenty-two million, one hundred ten thousand, one hundred one".