100102002201001 has 2 divisors, whose sum is σ = 100102002201002. Its totient is φ = 100102002201000.

The previous prime is 100102002200971. The next prime is 100102002201007. The reversal of 100102002201001 is 100102200201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67649884752025 + 32452117448976 = 8224955^2 + 5696676^2 .

It is an emirp because it is prime and its reverse (100102200201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100102002201001 - 2¹³ = 100102002192809 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102002201007) 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, 50051001100500 + 50051001100501.

It is an arithmetic number, because the mean of its divisors is an integer number (50051001100501).

Almost surely, 2^{100102002201001} is an apocalyptic number.

It is an amenable number.

100102002201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102002201001 is an equidigital number, since it uses as much as digits as its factorization.

100102002201001 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 100102002201001 its reverse (100102200201001), we get a palindrome (200204202402002).

The spelling of 100102002201001 in words is "one hundred trillion, one hundred two billion, two million, two hundred one thousand, one".