106601216521 has 2 divisors, whose sum is σ = 106601216522. Its totient is φ = 106601216520.

The previous prime is 106601216443. The next prime is 106601216543. The reversal of 106601216521 is 125612106601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104435617225 + 2165599296 = 323165^2 + 46536^2 .

It is a cyclic number.

It is not a de Polignac number, because 106601216521 - 2²¹ = 106599119369 is a prime.

It is a super-2 number, since 2×106601216521² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106601016521) 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, 53300608260 + 53300608261.

It is an arithmetic number, because the mean of its divisors is an integer number (53300608261).

Almost surely, 2^106601216521 is an apocalyptic number.

It is an amenable number.

106601216521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106601216521 is an equidigital number, since it uses as much as digits as its factorization.

106601216521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 106601216521 in words is "one hundred six billion, six hundred one million, two hundred sixteen thousand, five hundred twenty-one".