102116401 has 2 divisors, whose sum is σ = 102116402. Its totient is φ = 102116400.

The previous prime is 102116369. The next prime is 102116407. The reversal of 102116401 is 104611201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51136801 + 50979600 = 7151^2 + 7140^2 .

It is a cyclic number.

It is not a de Polignac number, because 102116401 - 2⁵ = 102116369 is a prime.

It is not a weakly prime, because it can be changed into another prime (102116407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51058200 + 51058201.

It is an arithmetic number, because the mean of its divisors is an integer number (51058201).

Almost surely, 2^102116401 is an apocalyptic number.

It is an amenable number.

102116401 is a deficient number, since it is larger than the sum of its proper divisors (1).

102116401 is an equidigital number, since it uses as much as digits as its factorization.

102116401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 102116401 is about 10105.2660034261. The cubic root of 102116401 is about 467.4105385166.

Adding to 102116401 its reverse (104611201), we get a palindrome (206727602).

The spelling of 102116401 in words is "one hundred two million, one hundred sixteen thousand, four hundred one".