105505106006101 has 2 divisors, whose sum is σ = 105505106006102. Its totient is φ = 105505106006100.

The previous prime is 105505106006099. The next prime is 105505106006197. The reversal of 105505106006101 is 101600601505501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105435910703601 + 69195302500 = 10268199^2 + 263050^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505106006101 - 2¹ = 105505106006099 is a prime.

It is a super-2 number, since 2×105505106006101² (a number of 29 digits) contains 22 as substring.

Together with 105505106006099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105505106004101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752553003050 + 52752553003051.

It is an arithmetic number, because the mean of its divisors is an integer number (52752553003051).

Almost surely, 2^{105505106006101} is an apocalyptic number.

It is an amenable number.

105505106006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505106006101 is an equidigital number, since it uses as much as digits as its factorization.

105505106006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105505106006101 in words is "one hundred five trillion, five hundred five billion, one hundred six million, six thousand, one hundred one".