21002020002101 has 2 divisors, whose sum is σ = 21002020002102. Its totient is φ = 21002020002100.

The previous prime is 21002020002031. The next prime is 21002020002109. The reversal of 21002020002101 is 10120002020012.

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., 20174695140625 + 827324861476 = 4491625^2 + 909574^2 .

It is a cyclic number.

It is not a de Polignac number, because 21002020002101 - 2¹⁴ = 21002019985717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21002020002109) 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, 10501010001050 + 10501010001051.

It is an arithmetic number, because the mean of its divisors is an integer number (10501010001051).

Almost surely, 2^{21002020002101} is an apocalyptic number.

It is an amenable number.

21002020002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21002020002101 is an equidigital number, since it uses as much as digits as its factorization.

21002020002101 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 21002020002101 its reverse (10120002020012), we get a palindrome (31122022022113).

The spelling of 21002020002101 in words is "twenty-one trillion, two billion, twenty million, two thousand, one hundred one".