220212210212101 has 2 divisors, whose sum is σ = 220212210212102. Its totient is φ = 220212210212100.

The previous prime is 220212210212089. The next prime is 220212210212143. The reversal of 220212210212101 is 101212012212022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133341869390625 + 86870340821476 = 11547375^2 + 9320426^2 .

It is a cyclic number.

It is not a de Polignac number, because 220212210212101 - 2¹⁷ = 220212210081029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220212910212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110106105106050 + 110106105106051.

It is an arithmetic number, because the mean of its divisors is an integer number (110106105106051).

Almost surely, 2^{220212210212101} is an apocalyptic number.

It is an amenable number.

220212210212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212210212101 is an equidigital number, since it uses as much as digits as its factorization.

220212210212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220212210212101 its reverse (101212012212022), we get a palindrome (321424222424123).

The spelling of 220212210212101 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred ten million, two hundred twelve thousand, one hundred one".