100123300130401 has 2 divisors, whose sum is σ = 100123300130402. Its totient is φ = 100123300130400.

The previous prime is 100123300130303. The next prime is 100123300130419. The reversal of 100123300130401 is 104031003321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94019707533376 + 6103592597025 = 9696376^2 + 2470545^2 .

It is an emirp because it is prime and its reverse (104031003321001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100123300130401 - 2¹¹ = 100123300128353 is a prime.

It is not a weakly prime, because it can be changed into another prime (100123300130701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061650065200 + 50061650065201.

It is an arithmetic number, because the mean of its divisors is an integer number (50061650065201).

Almost surely, 2^{100123300130401} is an apocalyptic number.

It is an amenable number.

100123300130401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123300130401 is an equidigital number, since it uses as much as digits as its factorization.

100123300130401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100123300130401 its reverse (104031003321001), we get a palindrome (204154303451402).

The spelling of 100123300130401 in words is "one hundred trillion, one hundred twenty-three billion, three hundred million, one hundred thirty thousand, four hundred one".