106222421521 has 2 divisors, whose sum is σ = 106222421522. Its totient is φ = 106222421520.

The previous prime is 106222421507. The next prime is 106222421527. The reversal of 106222421521 is 125124222601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90135050625 + 16087370896 = 300225^2 + 126836^2 .

It is a cyclic number.

It is not a de Polignac number, because 106222421521 - 2²⁹ = 105685550609 is a prime.

It is a super-2 number, since 2×106222421521² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106222421521.

It is not a weakly prime, because it can be changed into another prime (106222421527) 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, 53111210760 + 53111210761.

It is an arithmetic number, because the mean of its divisors is an integer number (53111210761).

Almost surely, 2^106222421521 is an apocalyptic number.

It is an amenable number.

106222421521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106222421521 is an equidigital number, since it uses as much as digits as its factorization.

106222421521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 106222421521 in words is "one hundred six billion, two hundred twenty-two million, four hundred twenty-one thousand, five hundred twenty-one".