100002102120001 has 2 divisors, whose sum is σ = 100002102120002. Its totient is φ = 100002102120000.

The previous prime is 100002102119987. The next prime is 100002102120007. The reversal of 100002102120001 is 100021201200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98219516651776 + 1782585468225 = 9910576^2 + 1335135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002102120001 - 2⁷ = 100002102119873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100002102120001.

It is not a weakly prime, because it can be changed into another prime (100002102120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001051060000 + 50001051060001.

It is an arithmetic number, because the mean of its divisors is an integer number (50001051060001).

Almost surely, 2^{100002102120001} is an apocalyptic number.

It is an amenable number.

100002102120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002102120001 is an equidigital number, since it uses as much as digits as its factorization.

100002102120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002102120001 its reverse (100021201200001), we get a palindrome (200023303320002).

The spelling of 100002102120001 in words is "one hundred trillion, two billion, one hundred two million, one hundred twenty thousand, one".