106301532622121 has 16 divisors (see below), whose sum is σ = 115124454034704. Its totient is φ = 97778844893184.

The previous prime is 106301532622081. The next prime is 106301532622123. The reversal of 106301532622121 is 121226235103601.

It can be written as a sum of positive squares in 8 ways, for example, as 57669808036096 + 48631724586025 = 7594064^2 + 6973645^2 .

It is a cyclic number.

It is not a de Polignac number, because 106301532622121 - 2⁶ = 106301532622057 is a prime.

It is a super-3 number, since 3×106301532622121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106301532622123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229304870 + ... + 229767983.

It is an arithmetic number, because the mean of its divisors is an integer number (7195278377169).

Almost surely, 2^{106301532622121} is an apocalyptic number.

It is an amenable number.

106301532622121 is a deficient number, since it is larger than the sum of its proper divisors (8822921412583).

106301532622121 is a wasteful number, since it uses less digits than its factorization.

106301532622121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459073180.

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 106301532622121 its reverse (121226235103601), we get a palindrome (227527767725722).

The spelling of 106301532622121 in words is "one hundred six trillion, three hundred one billion, five hundred thirty-two million, six hundred twenty-two thousand, one hundred twenty-one".