10201000021021 has 2 divisors, whose sum is σ = 10201000021022. Its totient is φ = 10201000021020.

The previous prime is 10201000020941. The next prime is 10201000021099. The reversal of 10201000021021 is 12012000010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7715695065796 + 2485304955225 = 2777714^2 + 1576485^2 .

It is an emirp because it is prime and its reverse (12012000010201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201000021021 - 2¹⁹ = 10200999496733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201000020989 and 10201000021007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201000021721) 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, 5100500010510 + 5100500010511.

It is an arithmetic number, because the mean of its divisors is an integer number (5100500010511).

Almost surely, 2^{10201000021021} is an apocalyptic number.

It is an amenable number.

10201000021021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201000021021 is an equidigital number, since it uses as much as digits as its factorization.

10201000021021 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 10201000021021 its reverse (12012000010201), we get a palindrome (22213000031222).

The spelling of 10201000021021 in words is "ten trillion, two hundred one billion, twenty-one thousand, twenty-one".