2101210022101 has 2 divisors, whose sum is σ = 2101210022102. Its totient is φ = 2101210022100.

The previous prime is 2101210022081. The next prime is 2101210022113. The reversal of 2101210022101 is 1012200121012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1780553971876 + 320656050225 = 1334374^2 + 566265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101210022101 - 2¹¹ = 2101210020053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101210022501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050605011050 + 1050605011051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050605011051).

Almost surely, 2^{2101210022101} is an apocalyptic number.

It is an amenable number.

2101210022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101210022101 is an equidigital number, since it uses as much as digits as its factorization.

2101210022101 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 13.

Adding to 2101210022101 its reverse (1012200121012), we get a palindrome (3113410143113).

The spelling of 2101210022101 in words is "two trillion, one hundred one billion, two hundred ten million, twenty-two thousand, one hundred one".