100201022002001 has 2 divisors, whose sum is σ = 100201022002002. Its totient is φ = 100201022002000.

The previous prime is 100201022001973. The next prime is 100201022002019. The reversal of 100201022002001 is 100200220102001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81302700273601 + 18898321728400 = 9016801^2 + 4347220^2 .

It is an emirp because it is prime and its reverse (100200220102001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201022002001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201022002061) 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, 50100511001000 + 50100511001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50100511001001).

Almost surely, 2^{100201022002001} is an apocalyptic number.

It is an amenable number.

100201022002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201022002001 is an equidigital number, since it uses as much as digits as its factorization.

100201022002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201022002001 its reverse (100200220102001), we get a palindrome (200401242104002).

The spelling of 100201022002001 in words is "one hundred trillion, two hundred one billion, twenty-two million, two thousand, one".