104216919612401 has 2 divisors, whose sum is σ = 104216919612402. Its totient is φ = 104216919612400.

The previous prime is 104216919612397. The next prime is 104216919612431.

104216919612401 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53959822690225 + 50257096922176 = 7345735^2 + 7089224^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 104216919612401 - 2² = 104216919612397 is a prime.

It is a super-2 number, since 2×104216919612401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104216919612431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52108459806200 + 52108459806201.

It is an arithmetic number, because the mean of its divisors is an integer number (52108459806201).

Almost surely, 2^{104216919612401} is an apocalyptic number.

104216919612401 is the 4565456-th centered decagonal number.

It is an amenable number.

104216919612401 is a deficient number, since it is larger than the sum of its proper divisors (1).

104216919612401 is an equidigital number, since it uses as much as digits as its factorization.

104216919612401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 47.

The spelling of 104216919612401 in words is "one hundred four trillion, two hundred sixteen billion, nine hundred nineteen million, six hundred twelve thousand, four hundred one".