201002202090101 has 2 divisors, whose sum is σ = 201002202090102. Its totient is φ = 201002202090100.

The previous prime is 201002202090089. The next prime is 201002202090103. The reversal of 201002202090101 is 101090202200102.

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., 200989880868100 + 12321222001 = 14177090^2 + 111001^2 .

It is a cyclic number.

It is not a de Polignac number, because 201002202090101 - 2⁴² = 196604155578997 is a prime.

Together with 201002202090103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201002202090103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100501101045050 + 100501101045051.

It is an arithmetic number, because the mean of its divisors is an integer number (100501101045051).

Almost surely, 2^{201002202090101} is an apocalyptic number.

It is an amenable number.

201002202090101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201002202090101 is an equidigital number, since it uses as much as digits as its factorization.

201002202090101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201002202090101 its reverse (101090202200102), we get a palindrome (302092404290203).

The spelling of 201002202090101 in words is "two hundred one trillion, two billion, two hundred two million, ninety thousand, one hundred one".