102224000401 has 2 divisors, whose sum is σ = 102224000402. Its totient is φ = 102224000400.

The previous prime is 102224000371. The next prime is 102224000413. The reversal of 102224000401 is 104000422201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98752434001 + 3471566400 = 314249^2 + 58920^2 .

It is a cyclic number.

It is not a de Polignac number, because 102224000401 - 2¹¹ = 102223998353 is a prime.

It is not a weakly prime, because it can be changed into another prime (102224000101) 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, 51112000200 + 51112000201.

It is an arithmetic number, because the mean of its divisors is an integer number (51112000201).

Almost surely, 2^102224000401 is an apocalyptic number.

It is an amenable number.

102224000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

102224000401 is an equidigital number, since it uses as much as digits as its factorization.

102224000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102224000401 its reverse (104000422201), we get a palindrome (206224422602).

The spelling of 102224000401 in words is "one hundred two billion, two hundred twenty-four million, four hundred one", and thus it is an aban number.