100002201100201 has 2 divisors, whose sum is σ = 100002201100202. Its totient is φ = 100002201100200.

The previous prime is 100002201100129. The next prime is 100002201100253. The reversal of 100002201100201 is 102001102200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94222432166976 + 5779768933225 = 9706824^2 + 2404115^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002201100201 - 2¹⁷ = 100002200969129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100002201100801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001100550100 + 50001100550101.

It is an arithmetic number, because the mean of its divisors is an integer number (50001100550101).

Almost surely, 2^{100002201100201} is an apocalyptic number.

It is an amenable number.

100002201100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002201100201 is an equidigital number, since it uses as much as digits as its factorization.

100002201100201 is an evil number, because the sum of its binary digits is even.

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

Adding to 100002201100201 its reverse (102001102200001), we get a palindrome (202003303300202).

The spelling of 100002201100201 in words is "one hundred trillion, two billion, two hundred one million, one hundred thousand, two hundred one".