100101410222353 has 2 divisors, whose sum is σ = 100101410222354. Its totient is φ = 100101410222352.

The previous prime is 100101410222329. The next prime is 100101410222413. The reversal of 100101410222353 is 353222014101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50657055360129 + 49444354862224 = 7117377^2 + 7031668^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101410222353 - 2¹⁷ = 100101410091281 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101410222153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050705111176 + 50050705111177.

It is an arithmetic number, because the mean of its divisors is an integer number (50050705111177).

Almost surely, 2^{100101410222353} is an apocalyptic number.

It is an amenable number.

100101410222353 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101410222353 is an equidigital number, since it uses as much as digits as its factorization.

100101410222353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 100101410222353 its reverse (353222014101001), we get a palindrome (453323424323354).

The spelling of 100101410222353 in words is "one hundred trillion, one hundred one billion, four hundred ten million, two hundred twenty-two thousand, three hundred fifty-three".