201020020100101 has 2 divisors, whose sum is σ = 201020020100102. Its totient is φ = 201020020100100.

The previous prime is 201020020100089. The next prime is 201020020100143. The reversal of 201020020100101 is 101001020020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170578593209476 + 30441426890625 = 13060574^2 + 5517375^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020020100101 - 2⁷ = 201020020099973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201020020101101) 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, 100510010050050 + 100510010050051.

It is an arithmetic number, because the mean of its divisors is an integer number (100510010050051).

Almost surely, 2^{201020020100101} is an apocalyptic number.

It is an amenable number.

201020020100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201020020100101 is an equidigital number, since it uses as much as digits as its factorization.

201020020100101 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 201020020100101 its reverse (101001020020102), we get a palindrome (302021040120203).

The spelling of 201020020100101 in words is "two hundred one trillion, twenty billion, twenty million, one hundred thousand, one hundred one".