100106110052353 has 2 divisors, whose sum is σ = 100106110052354. Its totient is φ = 100106110052352.

The previous prime is 100106110052239. The next prime is 100106110052519. The reversal of 100106110052353 is 353250011601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95688071792784 + 4418038259569 = 9782028^2 + 2101913^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106110052353 - 2²¹ = 100106107955201 is a prime.

It is not a weakly prime, because it can be changed into another prime (100106110052653) 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, 50053055026176 + 50053055026177.

It is an arithmetic number, because the mean of its divisors is an integer number (50053055026177).

Almost surely, 2^{100106110052353} is an apocalyptic number.

It is an amenable number.

100106110052353 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106110052353 is an equidigital number, since it uses as much as digits as its factorization.

100106110052353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

Adding to 100106110052353 its reverse (353250011601001), we get a palindrome (453356121653354).

The spelling of 100106110052353 in words is "one hundred trillion, one hundred six billion, one hundred ten million, fifty-two thousand, three hundred fifty-three".