100201100001001 has 2 divisors, whose sum is σ = 100201100001002. Its totient is φ = 100201100001000.

The previous prime is 100201100000993. The next prime is 100201100001019. The reversal of 100201100001001 is 100100001102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66654994391001 + 33546105610000 = 8164251^2 + 5791900^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201100001001 - 2³ = 100201100000993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201100001071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100550000500 + 50100550000501.

It is an arithmetic number, because the mean of its divisors is an integer number (50100550000501).

Almost surely, 2^{100201100001001} is an apocalyptic number.

It is an amenable number.

100201100001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201100001001 is an equidigital number, since it uses as much as digits as its factorization.

100201100001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201100001001 its reverse (100100001102001), we get a palindrome (200301101103002).

The spelling of 100201100001001 in words is "one hundred trillion, two hundred one billion, one hundred million, one thousand, one".