221012021220101 has 2 divisors, whose sum is σ = 221012021220102. Its totient is φ = 221012021220100.

The previous prime is 221012021220083. The next prime is 221012021220103. The reversal of 221012021220101 is 101022120210122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205320527580100 + 15691493640001 = 14329010^2 + 3961249^2 .

It is a cyclic number.

It is not a de Polignac number, because 221012021220101 - 2¹⁴ = 221012021203717 is a prime.

Together with 221012021220103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221012021220101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221012021220103) 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, 110506010610050 + 110506010610051.

It is an arithmetic number, because the mean of its divisors is an integer number (110506010610051).

Almost surely, 2^{221012021220101} is an apocalyptic number.

It is an amenable number.

221012021220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221012021220101 is an equidigital number, since it uses as much as digits as its factorization.

221012021220101 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 221012021220101 its reverse (101022120210122), we get a palindrome (322034141430223).

It can be divided in two parts, 221012021 and 220101, that added together give a palindrome (221232122).

The spelling of 221012021220101 in words is "two hundred twenty-one trillion, twelve billion, twenty-one million, two hundred twenty thousand, one hundred one".