100002122401 has 2 divisors, whose sum is σ = 100002122402. Its totient is φ = 100002122400.

The previous prime is 100002122383. The next prime is 100002122431. The reversal of 100002122401 is 104221200001.

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., 80541872401 + 19460250000 = 283799^2 + 139500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100002122401 is a prime.

It is not a weakly prime, because it can be changed into another prime (100002122431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001061200 + 50001061201.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061201).

Almost surely, 2^100002122401 is an apocalyptic number.

It is an amenable number.

100002122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002122401 is an equidigital number, since it uses as much as digits as its factorization.

100002122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100002122401 its reverse (104221200001), we get a palindrome (204223322402).

The spelling of 100002122401 in words is "one hundred billion, two million, one hundred twenty-two thousand, four hundred one".