100401128353 has 2 divisors, whose sum is σ = 100401128354. Its totient is φ = 100401128352.

The previous prime is 100401128351. The next prime is 100401128383. The reversal of 100401128353 is 353821104001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50657855329 + 49743273024 = 225073^2 + 223032^2 .

It is a cyclic number.

It is not a de Polignac number, because 100401128353 - 2¹ = 100401128351 is a prime.

Together with 100401128351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100401128351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200564176 + 50200564177.

It is an arithmetic number, because the mean of its divisors is an integer number (50200564177).

Almost surely, 2^100401128353 is an apocalyptic number.

It is an amenable number.

100401128353 is a deficient number, since it is larger than the sum of its proper divisors (1).

100401128353 is an equidigital number, since it uses as much as digits as its factorization.

100401128353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 100401128353 in words is "one hundred billion, four hundred one million, one hundred twenty-eight thousand, three hundred fifty-three".