100001020102001 has 2 divisors, whose sum is σ = 100001020102002. Its totient is φ = 100001020102000.

The previous prime is 100001020101979. The next prime is 100001020102091. The reversal of 100001020102001 is 100201020100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84869511376225 + 15131508725776 = 9212465^2 + 3889924^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001020102001 - 2³⁰ = 99999946360177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001020102001.

It is not a weakly prime, because it can be changed into another prime (100001020102091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000510051000 + 50000510051001.

It is an arithmetic number, because the mean of its divisors is an integer number (50000510051001).

Almost surely, 2^{100001020102001} is an apocalyptic number.

It is an amenable number.

100001020102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001020102001 is an equidigital number, since it uses as much as digits as its factorization.

100001020102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001020102001 its reverse (100201020100001), we get a palindrome (200202040202002).

The spelling of 100001020102001 in words is "one hundred trillion, one billion, twenty million, one hundred two thousand, one".