100110122353 has 2 divisors, whose sum is σ = 100110122354. Its totient is φ = 100110122352.

The previous prime is 100110122323. The next prime is 100110122363. The reversal of 100110122353 is 353221011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55518198129 + 44591924224 = 235623^2 + 211168^2 .

It is an emirp because it is prime and its reverse (353221011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110122353 - 2¹⁷ = 100109991281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110122353.

It is not a weakly prime, because it can be changed into another prime (100110122303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055061176 + 50055061177.

It is an arithmetic number, because the mean of its divisors is an integer number (50055061177).

Almost surely, 2^100110122353 is an apocalyptic number.

It is an amenable number.

100110122353 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110122353 is an equidigital number, since it uses as much as digits as its factorization.

100110122353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 100110122353 its reverse (353221011001), we get a palindrome (453331133354).

The spelling of 100110122353 in words is "one hundred billion, one hundred ten million, one hundred twenty-two thousand, three hundred fifty-three".