100002122377 has 2 divisors, whose sum is σ = 100002122378. Its totient is φ = 100002122376.

The previous prime is 100002122309. The next prime is 100002122383. The reversal of 100002122377 is 773221200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98209531456 + 1792590921 = 313384^2 + 42339^2 .

It is an emirp because it is prime and its reverse (773221200001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100002122377 - 2²⁷ = 99867904649 is a prime.

It is not a weakly prime, because it can be changed into another prime (100002120377) 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, 50001061188 + 50001061189.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061189).

Almost surely, 2^100002122377 is an apocalyptic number.

It is an amenable number.

100002122377 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002122377 is an equidigital number, since it uses as much as digits as its factorization.

100002122377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

Adding to 100002122377 its reverse (773221200001), we get a palindrome (873223322378).

The spelling of 100002122377 in words is "one hundred billion, two million, one hundred twenty-two thousand, three hundred seventy-seven".