10100010200221 has 2 divisors, whose sum is σ = 10100010200222. Its totient is φ = 10100010200220.

The previous prime is 10100010200219. The next prime is 10100010200263. The reversal of 10100010200221 is 12200201000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7557627784996 + 2542382415225 = 2749114^2 + 1594485^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010200221 - 2¹ = 10100010200219 is a prime.

Together with 10100010200219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10100010200198 and 10100010200207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010200201) 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, 5050005100110 + 5050005100111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005100111).

Almost surely, 2^{10100010200221} is an apocalyptic number.

It is an amenable number.

10100010200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010200221 is an equidigital number, since it uses as much as digits as its factorization.

10100010200221 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 10100010200221 its reverse (12200201000101), we get a palindrome (22300211200322).

The spelling of 10100010200221 in words is "ten trillion, one hundred billion, ten million, two hundred thousand, two hundred twenty-one".